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Finding the Fourth Proportional to 517,765.10, 775,760.70 and 411,476.90

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Solution

The fourth proportional to 517,765.10, 775,760.70 and 411,476.90 is: 616,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,765.10 : 775,760.70 = 411,476.90 : x
  2. Step 2: Convert to fraction form
    517,765.10/775,760.70 = 411,476.90/x
  3. Step 3: Cross multiply
    517,765.10x = 775,760.70 × 411,476.90
  4. Step 4: Simplify right side
    517,765.10x = 319,207,607,977.83
  5. Step 5: Solve for x
    x = 319,207,607,977.83/517,765.10
  6. Step 6: Final answer
    x = 616,510.48

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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.