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Finding the Fourth Proportional to 361,101.96, 498,235.86 and 215,955.24

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Solution

The fourth proportional to 361,101.96, 498,235.86 and 215,955.24 is: 297,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,101.96 : 498,235.86 = 215,955.24 : x
  2. Step 2: Convert to fraction form
    361,101.96/498,235.86 = 215,955.24/x
  3. Step 3: Cross multiply
    361,101.96x = 498,235.86 × 215,955.24
  4. Step 4: Simplify right side
    361,101.96x = 107,596,644,722.91
  5. Step 5: Solve for x
    x = 107,596,644,722.91/361,101.96
  6. Step 6: Final answer
    x = 297,967.49

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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.