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Finding the Fourth Proportional to 533,073.28, 735,621.16 and 291,353.92

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Solution

The fourth proportional to 533,073.28, 735,621.16 and 291,353.92 is: 402,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,073.28 : 735,621.16 = 291,353.92 : x
  2. Step 2: Convert to fraction form
    533,073.28/735,621.16 = 291,353.92/x
  3. Step 3: Cross multiply
    533,073.28x = 735,621.16 × 291,353.92
  4. Step 4: Simplify right side
    533,073.28x = 214,326,108,600.95
  5. Step 5: Solve for x
    x = 214,326,108,600.95/533,073.28
  6. Step 6: Final answer
    x = 402,057.50

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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.