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Finding the Fourth Proportional to 474,192.86, 711,302.25 and 158,638.46

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Solution

The fourth proportional to 474,192.86, 711,302.25 and 158,638.46 is: 237,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,192.86 : 711,302.25 = 158,638.46 : x
  2. Step 2: Convert to fraction form
    474,192.86/711,302.25 = 158,638.46/x
  3. Step 3: Cross multiply
    474,192.86x = 711,302.25 × 158,638.46
  4. Step 4: Simplify right side
    474,192.86x = 112,839,893,534.54
  5. Step 5: Solve for x
    x = 112,839,893,534.54/474,192.86
  6. Step 6: Final answer
    x = 237,962.03

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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.