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Finding the Fourth Proportional to 533,869, 736,739.24 and 292,151.56

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Solution

The fourth proportional to 533,869, 736,739.24 and 292,151.56 is: 403,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,869 : 736,739.24 = 292,151.56 : x
  2. Step 2: Convert to fraction form
    533,869/736,739.24 = 292,151.56/x
  3. Step 3: Cross multiply
    533,869x = 736,739.24 × 292,151.56
  4. Step 4: Simplify right side
    533,869x = 215,239,518,279.21
  5. Step 5: Solve for x
    x = 215,239,518,279.21/533,869
  6. Step 6: Final answer
    x = 403,169.16

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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.