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Finding the Fourth Proportional to 474,193.11, 711,302.63 and 158,638.71

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Solution

The fourth proportional to 474,193.11, 711,302.63 and 158,638.71 is: 237,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,193.11 : 711,302.63 = 158,638.71 : x
  2. Step 2: Convert to fraction form
    474,193.11/711,302.63 = 158,638.71/x
  3. Step 3: Cross multiply
    474,193.11x = 711,302.63 × 158,638.71
  4. Step 4: Simplify right side
    474,193.11x = 112,840,130,849.61
  5. Step 5: Solve for x
    x = 112,840,130,849.61/474,193.11
  6. Step 6: Final answer
    x = 237,962.40

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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.