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Finding the Fourth Proportional to 488,565.10, 732,847.65 and 409,833.10

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Solution

The fourth proportional to 488,565.10, 732,847.65 and 409,833.10 is: 614,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,565.10 : 732,847.65 = 409,833.10 : x
  2. Step 2: Convert to fraction form
    488,565.10/732,847.65 = 409,833.10/x
  3. Step 3: Cross multiply
    488,565.10x = 732,847.65 × 409,833.10
  4. Step 4: Simplify right side
    488,565.10x = 300,345,224,227.22
  5. Step 5: Solve for x
    x = 300,345,224,227.22/488,565.10
  6. Step 6: Final answer
    x = 614,749.65

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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.