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Finding the Fourth Proportional to 462,550.71, 693,925 and 138,364.20

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Solution

The fourth proportional to 462,550.71, 693,925 and 138,364.20 is: 207,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,550.71 : 693,925 = 138,364.20 : x
  2. Step 2: Convert to fraction form
    462,550.71/693,925 = 138,364.20/x
  3. Step 3: Cross multiply
    462,550.71x = 693,925 × 138,364.20
  4. Step 4: Simplify right side
    462,550.71x = 96,014,377,485.00
  5. Step 5: Solve for x
    x = 96,014,377,485.00/462,550.71
  6. Step 6: Final answer
    x = 207,575.89

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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.