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Finding the Fourth Proportional to 457,762.10, 686,643.15 and 417,211.70

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Solution

The fourth proportional to 457,762.10, 686,643.15 and 417,211.70 is: 625,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,762.10 : 686,643.15 = 417,211.70 : x
  2. Step 2: Convert to fraction form
    457,762.10/686,643.15 = 417,211.70/x
  3. Step 3: Cross multiply
    457,762.10x = 686,643.15 × 417,211.70
  4. Step 4: Simplify right side
    457,762.10x = 286,475,555,904.86
  5. Step 5: Solve for x
    x = 286,475,555,904.86/457,762.10
  6. Step 6: Final answer
    x = 625,817.55

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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.