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Finding the Fourth Proportional to 283,854.84, 425,300.28 and 171,298.54

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Solution

The fourth proportional to 283,854.84, 425,300.28 and 171,298.54 is: 256,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,854.84 : 425,300.28 = 171,298.54 : x
  2. Step 2: Convert to fraction form
    283,854.84/425,300.28 = 171,298.54/x
  3. Step 3: Cross multiply
    283,854.84x = 425,300.28 × 171,298.54
  4. Step 4: Simplify right side
    283,854.84x = 72,853,316,169.10
  5. Step 5: Solve for x
    x = 72,853,316,169.10/283,854.84
  6. Step 6: Final answer
    x = 256,656.95

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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.