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Finding the Fourth Proportional to 533,854.47, 736,719.09 and 292,137.07

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Solution

The fourth proportional to 533,854.47, 736,719.09 and 292,137.07 is: 403,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,854.47 : 736,719.09 = 292,137.07 : x
  2. Step 2: Convert to fraction form
    533,854.47/736,719.09 = 292,137.07/x
  3. Step 3: Cross multiply
    533,854.47x = 736,719.09 × 292,137.07
  4. Step 4: Simplify right side
    533,854.47x = 215,222,954,523.87
  5. Step 5: Solve for x
    x = 215,222,954,523.87/533,854.47
  6. Step 6: Final answer
    x = 403,149.11

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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.