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Finding the Fourth Proportional to 337,612.64, 506,667.72 and 160,120.16

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Solution

The fourth proportional to 337,612.64, 506,667.72 and 160,120.16 is: 240,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,612.64 : 506,667.72 = 160,120.16 : x
  2. Step 2: Convert to fraction form
    337,612.64/506,667.72 = 160,120.16/x
  3. Step 3: Cross multiply
    337,612.64x = 506,667.72 × 160,120.16
  4. Step 4: Simplify right side
    337,612.64x = 81,127,716,393.24
  5. Step 5: Solve for x
    x = 81,127,716,393.24/337,612.64
  6. Step 6: Final answer
    x = 240,298.22

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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.