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Finding the Fourth Proportional to 498,045.96, 687,335.85 and 283,206

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Solution

The fourth proportional to 498,045.96, 687,335.85 and 283,206 is: 390,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,045.96 : 687,335.85 = 283,206 : x
  2. Step 2: Convert to fraction form
    498,045.96/687,335.85 = 283,206/x
  3. Step 3: Cross multiply
    498,045.96x = 687,335.85 × 283,206
  4. Step 4: Simplify right side
    498,045.96x = 194,657,636,735.10
  5. Step 5: Solve for x
    x = 194,657,636,735.10/498,045.96
  6. Step 6: Final answer
    x = 390,842.72

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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.