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Finding the Fourth Proportional to 361,186.68, 498,432.59 and 208,225.17

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Solution

The fourth proportional to 361,186.68, 498,432.59 and 208,225.17 is: 287,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,186.68 : 498,432.59 = 208,225.17 : x
  2. Step 2: Convert to fraction form
    361,186.68/498,432.59 = 208,225.17/x
  3. Step 3: Cross multiply
    361,186.68x = 498,432.59 × 208,225.17
  4. Step 4: Simplify right side
    361,186.68x = 103,786,209,745.16
  5. Step 5: Solve for x
    x = 103,786,209,745.16/361,186.68
  6. Step 6: Final answer
    x = 287,347.83

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1.5x scale

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.