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Finding the Fourth Proportional to 283,262.64, 424,983.84 and 83,584

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Solution

The fourth proportional to 283,262.64, 424,983.84 and 83,584 is: 125,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,262.64 : 424,983.84 = 83,584 : x
  2. Step 2: Convert to fraction form
    283,262.64/424,983.84 = 83,584/x
  3. Step 3: Cross multiply
    283,262.64x = 424,983.84 × 83,584
  4. Step 4: Simplify right side
    283,262.64x = 35,521,849,282.56
  5. Step 5: Solve for x
    x = 35,521,849,282.56/283,262.64
  6. Step 6: Final answer
    x = 125,402.52

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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.