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Finding the Fourth Proportional to 498,774.60, 748,016.10 and 178,889.40

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Solution

The fourth proportional to 498,774.60, 748,016.10 and 178,889.40 is: 268,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,774.60 : 748,016.10 = 178,889.40 : x
  2. Step 2: Convert to fraction form
    498,774.60/748,016.10 = 178,889.40/x
  3. Step 3: Cross multiply
    498,774.60x = 748,016.10 × 178,889.40
  4. Step 4: Simplify right side
    498,774.60x = 133,812,151,319.34
  5. Step 5: Solve for x
    x = 133,812,151,319.34/498,774.60
  6. Step 6: Final answer
    x = 268,281.81

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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.