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Finding the Fourth Proportional to 533,178.72, 735,786.52 and 291,462.30

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Solution

The fourth proportional to 533,178.72, 735,786.52 and 291,462.30 is: 402,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,178.72 : 735,786.52 = 291,462.30 : x
  2. Step 2: Convert to fraction form
    533,178.72/735,786.52 = 291,462.30/x
  3. Step 3: Cross multiply
    533,178.72x = 735,786.52 × 291,462.30
  4. Step 4: Simplify right side
    533,178.72x = 214,454,031,428.20
  5. Step 5: Solve for x
    x = 214,454,031,428.20/533,178.72
  6. Step 6: Final answer
    x = 402,217.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.