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Finding the Fourth Proportional to 473,764.06, 710,842.92 and 207,387.46

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Solution

The fourth proportional to 473,764.06, 710,842.92 and 207,387.46 is: 311,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,764.06 : 710,842.92 = 207,387.46 : x
  2. Step 2: Convert to fraction form
    473,764.06/710,842.92 = 207,387.46/x
  3. Step 3: Cross multiply
    473,764.06x = 710,842.92 × 207,387.46
  4. Step 4: Simplify right side
    473,764.06x = 147,419,907,637.78
  5. Step 5: Solve for x
    x = 147,419,907,637.78/473,764.06
  6. Step 6: Final answer
    x = 311,167.35

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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.