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Finding the Fourth Proportional to 533,570.49, 736,333.08 and 291,847.77

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Solution

The fourth proportional to 533,570.49, 736,333.08 and 291,847.77 is: 402,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,570.49 : 736,333.08 = 291,847.77 : x
  2. Step 2: Convert to fraction form
    533,570.49/736,333.08 = 291,847.77/x
  3. Step 3: Cross multiply
    533,570.49x = 736,333.08 × 291,847.77
  4. Step 4: Simplify right side
    533,570.49x = 214,897,167,375.23
  5. Step 5: Solve for x
    x = 214,897,167,375.23/533,570.49
  6. Step 6: Final answer
    x = 402,753.10

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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.