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Finding the Fourth Proportional to 362,004.60, 542,285.19 and 282,747.72

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Solution

The fourth proportional to 362,004.60, 542,285.19 and 282,747.72 is: 423,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,004.60 : 542,285.19 = 282,747.72 : x
  2. Step 2: Convert to fraction form
    362,004.60/542,285.19 = 282,747.72/x
  3. Step 3: Cross multiply
    362,004.60x = 542,285.19 × 282,747.72
  4. Step 4: Simplify right side
    362,004.60x = 153,329,901,062.27
  5. Step 5: Solve for x
    x = 153,329,901,062.27/362,004.60
  6. Step 6: Final answer
    x = 423,557.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.