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Finding the Fourth Proportional to 423,568.38, 584,543.43 and 253,798.86

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Solution

The fourth proportional to 423,568.38, 584,543.43 and 253,798.86 is: 350,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,568.38 : 584,543.43 = 253,798.86 : x
  2. Step 2: Convert to fraction form
    423,568.38/584,543.43 = 253,798.86/x
  3. Step 3: Cross multiply
    423,568.38x = 584,543.43 × 253,798.86
  4. Step 4: Simplify right side
    423,568.38x = 148,356,456,154.49
  5. Step 5: Solve for x
    x = 148,356,456,154.49/423,568.38
  6. Step 6: Final answer
    x = 350,253.85

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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.