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Finding the Fourth Proportional to 459,006.40, 687,197.40 and 411,767.20

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Solution

The fourth proportional to 459,006.40, 687,197.40 and 411,767.20 is: 616,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,006.40 : 687,197.40 = 411,767.20 : x
  2. Step 2: Convert to fraction form
    459,006.40/687,197.40 = 411,767.20/x
  3. Step 3: Cross multiply
    459,006.40x = 687,197.40 × 411,767.20
  4. Step 4: Simplify right side
    459,006.40x = 282,965,349,245.28
  5. Step 5: Solve for x
    x = 282,965,349,245.28/459,006.40
  6. Step 6: Final answer
    x = 616,473.65

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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.