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Finding the Fourth Proportional to 614,795.31, 920,273.92 and 452,871.90

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Solution

The fourth proportional to 614,795.31, 920,273.92 and 452,871.90 is: 677,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,795.31 : 920,273.92 = 452,871.90 : x
  2. Step 2: Convert to fraction form
    614,795.31/920,273.92 = 452,871.90/x
  3. Step 3: Cross multiply
    614,795.31x = 920,273.92 × 452,871.90
  4. Step 4: Simplify right side
    614,795.31x = 416,766,197,538.67
  5. Step 5: Solve for x
    x = 416,766,197,538.67/614,795.31
  6. Step 6: Final answer
    x = 677,894.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.