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Finding the Fourth Proportional to 689,596.58, 951,774.36 and 431,593.40

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Solution

The fourth proportional to 689,596.58, 951,774.36 and 431,593.40 is: 595,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,596.58 : 951,774.36 = 431,593.40 : x
  2. Step 2: Convert to fraction form
    689,596.58/951,774.36 = 431,593.40/x
  3. Step 3: Cross multiply
    689,596.58x = 951,774.36 × 431,593.40
  4. Step 4: Simplify right side
    689,596.58x = 410,779,532,065.22
  5. Step 5: Solve for x
    x = 410,779,532,065.22/689,596.58
  6. Step 6: Final answer
    x = 595,680.93

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.