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Finding the Fourth Proportional to 533,860.14, 736,726.86 and 292,142.64

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Solution

The fourth proportional to 533,860.14, 736,726.86 and 292,142.64 is: 403,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,860.14 : 736,726.86 = 292,142.64 : x
  2. Step 2: Convert to fraction form
    533,860.14/736,726.86 = 292,142.64/x
  3. Step 3: Cross multiply
    533,860.14x = 736,726.86 × 292,142.64
  4. Step 4: Simplify right side
    533,860.14x = 215,229,329,839.31
  5. Step 5: Solve for x
    x = 215,229,329,839.31/533,860.14
  6. Step 6: Final answer
    x = 403,156.77

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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.