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Finding the Fourth Proportional to 575,841.10, 862,515.06 and 417,721

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Solution

The fourth proportional to 575,841.10, 862,515.06 and 417,721 is: 625,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,841.10 : 862,515.06 = 417,721 : x
  2. Step 2: Convert to fraction form
    575,841.10/862,515.06 = 417,721/x
  3. Step 3: Cross multiply
    575,841.10x = 862,515.06 × 417,721
  4. Step 4: Simplify right side
    575,841.10x = 360,290,653,378.26
  5. Step 5: Solve for x
    x = 360,290,653,378.26/575,841.10
  6. Step 6: Final answer
    x = 625,677.21

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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.