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Finding the Fourth Proportional to 464,847.66, 641,702.25 and 357,380.10

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Solution

The fourth proportional to 464,847.66, 641,702.25 and 357,380.10 is: 493,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,847.66 : 641,702.25 = 357,380.10 : x
  2. Step 2: Convert to fraction form
    464,847.66/641,702.25 = 357,380.10/x
  3. Step 3: Cross multiply
    464,847.66x = 641,702.25 × 357,380.10
  4. Step 4: Simplify right side
    464,847.66x = 229,331,614,275.23
  5. Step 5: Solve for x
    x = 229,331,614,275.23/464,847.66
  6. Step 6: Final answer
    x = 493,347.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.