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Finding the Fourth Proportional to 840,654, 1,160,102.64 and 538,848.72

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Solution

The fourth proportional to 840,654, 1,160,102.64 and 538,848.72 is: 743,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,654 : 1,160,102.64 = 538,848.72 : x
  2. Step 2: Convert to fraction form
    840,654/1,160,102.64 = 538,848.72/x
  3. Step 3: Cross multiply
    840,654x = 1,160,102.64 × 538,848.72
  4. Step 4: Simplify right side
    840,654x = 625,119,822,632.62
  5. Step 5: Solve for x
    x = 625,119,822,632.62/840,654
  6. Step 6: Final answer
    x = 743,611.31

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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.