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Finding the Fourth Proportional to 533,060.47, 735,640.43 and 291,337.85

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Solution

The fourth proportional to 533,060.47, 735,640.43 and 291,337.85 is: 402,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,060.47 : 735,640.43 = 291,337.85 : x
  2. Step 2: Convert to fraction form
    533,060.47/735,640.43 = 291,337.85/x
  3. Step 3: Cross multiply
    533,060.47x = 735,640.43 × 291,337.85
  4. Step 4: Simplify right side
    533,060.47x = 214,319,901,249.28
  5. Step 5: Solve for x
    x = 214,319,901,249.28/533,060.47
  6. Step 6: Final answer
    x = 402,055.51

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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.