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Finding the Fourth Proportional to 711,704, 982,164 and 389,442.32

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Solution

The fourth proportional to 711,704, 982,164 and 389,442.32 is: 537,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,704 : 982,164 = 389,442.32 : x
  2. Step 2: Convert to fraction form
    711,704/982,164 = 389,442.32/x
  3. Step 3: Cross multiply
    711,704x = 982,164 × 389,442.32
  4. Step 4: Simplify right side
    711,704x = 382,496,226,780.48
  5. Step 5: Solve for x
    x = 382,496,226,780.48/711,704
  6. Step 6: Final answer
    x = 537,437.23

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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.