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Finding the Fourth Proportional to 498,016, 747,030.48 and 165,592

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Solution

The fourth proportional to 498,016, 747,030.48 and 165,592 is: 248,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,016 : 747,030.48 = 165,592 : x
  2. Step 2: Convert to fraction form
    498,016/747,030.48 = 165,592/x
  3. Step 3: Cross multiply
    498,016x = 747,030.48 × 165,592
  4. Step 4: Simplify right side
    498,016x = 123,702,271,244.16
  5. Step 5: Solve for x
    x = 123,702,271,244.16/498,016
  6. Step 6: Final answer
    x = 248,390.15

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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.