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Finding the Fourth Proportional to 523,008.34, 784,512.52 and 365,544.34

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Solution

The fourth proportional to 523,008.34, 784,512.52 and 365,544.34 is: 548,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,008.34 : 784,512.52 = 365,544.34 : x
  2. Step 2: Convert to fraction form
    523,008.34/784,512.52 = 365,544.34/x
  3. Step 3: Cross multiply
    523,008.34x = 784,512.52 × 365,544.34
  4. Step 4: Simplify right side
    523,008.34x = 286,774,111,345.14
  5. Step 5: Solve for x
    x = 286,774,111,345.14/523,008.34
  6. Step 6: Final answer
    x = 548,316.52

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.