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Finding the Fourth Proportional to 337,808.32, 506,569.92 and 101,184.64

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Solution

The fourth proportional to 337,808.32, 506,569.92 and 101,184.64 is: 151,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,808.32 : 506,569.92 = 101,184.64 : x
  2. Step 2: Convert to fraction form
    337,808.32/506,569.92 = 101,184.64/x
  3. Step 3: Cross multiply
    337,808.32x = 506,569.92 × 101,184.64
  4. Step 4: Simplify right side
    337,808.32x = 51,257,094,990.03
  5. Step 5: Solve for x
    x = 51,257,094,990.03/337,808.32
  6. Step 6: Final answer
    x = 151,734.26

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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.