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Finding the Fourth Proportional to 330,446.91, 495,681.14 and 157,301.10

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Solution

The fourth proportional to 330,446.91, 495,681.14 and 157,301.10 is: 235,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,446.91 : 495,681.14 = 157,301.10 : x
  2. Step 2: Convert to fraction form
    330,446.91/495,681.14 = 157,301.10/x
  3. Step 3: Cross multiply
    330,446.91x = 495,681.14 × 157,301.10
  4. Step 4: Simplify right side
    330,446.91x = 77,971,188,964.51
  5. Step 5: Solve for x
    x = 77,971,188,964.51/330,446.91
  6. Step 6: Final answer
    x = 235,956.78

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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.