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Finding the Fourth Proportional to 514,425.12, 771,740.16 and 159,548.16

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Solution

The fourth proportional to 514,425.12, 771,740.16 and 159,548.16 is: 239,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,425.12 : 771,740.16 = 159,548.16 : x
  2. Step 2: Convert to fraction form
    514,425.12/771,740.16 = 159,548.16/x
  3. Step 3: Cross multiply
    514,425.12x = 771,740.16 × 159,548.16
  4. Step 4: Simplify right side
    514,425.12x = 123,129,722,526.11
  5. Step 5: Solve for x
    x = 123,129,722,526.11/514,425.12
  6. Step 6: Final answer
    x = 239,354.02

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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.