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Finding the Fourth Proportional to 689,117.20, 950,905.56 and 413,460.40

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Solution

The fourth proportional to 689,117.20, 950,905.56 and 413,460.40 is: 570,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,117.20 : 950,905.56 = 413,460.40 : x
  2. Step 2: Convert to fraction form
    689,117.20/950,905.56 = 413,460.40/x
  3. Step 3: Cross multiply
    689,117.20x = 950,905.56 × 413,460.40
  4. Step 4: Simplify right side
    689,117.20x = 393,161,793,199.82
  5. Step 5: Solve for x
    x = 393,161,793,199.82/689,117.20
  6. Step 6: Final answer
    x = 570,529.65

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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.