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Finding the Fourth Proportional to 462,199.64, 693,373.28 and 158,559.30

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Solution

The fourth proportional to 462,199.64, 693,373.28 and 158,559.30 is: 237,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,199.64 : 693,373.28 = 158,559.30 : x
  2. Step 2: Convert to fraction form
    462,199.64/693,373.28 = 158,559.30/x
  3. Step 3: Cross multiply
    462,199.64x = 693,373.28 × 158,559.30
  4. Step 4: Simplify right side
    462,199.64x = 109,940,781,915.50
  5. Step 5: Solve for x
    x = 109,940,781,915.50/462,199.64
  6. Step 6: Final answer
    x = 237,864.27

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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.