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Finding the Fourth Proportional to 361,337.60, 498,632.64 and 208,382.24

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Solution

The fourth proportional to 361,337.60, 498,632.64 and 208,382.24 is: 287,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,337.60 : 498,632.64 = 208,382.24 : x
  2. Step 2: Convert to fraction form
    361,337.60/498,632.64 = 208,382.24/x
  3. Step 3: Cross multiply
    361,337.60x = 498,632.64 × 208,382.24
  4. Step 4: Simplify right side
    361,337.60x = 103,906,186,460.31
  5. Step 5: Solve for x
    x = 103,906,186,460.31/361,337.60
  6. Step 6: Final answer
    x = 287,559.85

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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.