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Finding the Fourth Proportional to 575,840.10, 862,513.56 and 417,720

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Solution

The fourth proportional to 575,840.10, 862,513.56 and 417,720 is: 625,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,840.10 : 862,513.56 = 417,720 : x
  2. Step 2: Convert to fraction form
    575,840.10/862,513.56 = 417,720/x
  3. Step 3: Cross multiply
    575,840.10x = 862,513.56 × 417,720
  4. Step 4: Simplify right side
    575,840.10x = 360,289,164,283.20
  5. Step 5: Solve for x
    x = 360,289,164,283.20/575,840.10
  6. Step 6: Final answer
    x = 625,675.71

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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.