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Finding the Fourth Proportional to 711,646.38, 982,096.52 and 389,356.47

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Solution

The fourth proportional to 711,646.38, 982,096.52 and 389,356.47 is: 537,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,646.38 : 982,096.52 = 389,356.47 : x
  2. Step 2: Convert to fraction form
    711,646.38/982,096.52 = 389,356.47/x
  3. Step 3: Cross multiply
    711,646.38x = 982,096.52 × 389,356.47
  4. Step 4: Simplify right side
    711,646.38x = 382,385,632,279.70
  5. Step 5: Solve for x
    x = 382,385,632,279.70/711,646.38
  6. Step 6: Final answer
    x = 537,325.34

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Why These Related Problems?

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