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Finding the Fourth Proportional to 459,117.10, 688,003.35 and 411,732.10

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Solution

The fourth proportional to 459,117.10, 688,003.35 and 411,732.10 is: 616,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,117.10 : 688,003.35 = 411,732.10 : x
  2. Step 2: Convert to fraction form
    459,117.10/688,003.35 = 411,732.10/x
  3. Step 3: Cross multiply
    459,117.10x = 688,003.35 × 411,732.10
  4. Step 4: Simplify right side
    459,117.10x = 283,273,064,102.54
  5. Step 5: Solve for x
    x = 283,273,064,102.54/459,117.10
  6. Step 6: Final answer
    x = 616,995.24

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