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Finding the Fourth Proportional to 400,758.86, 601,088.70 and 148,033.76

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Solution

The fourth proportional to 400,758.86, 601,088.70 and 148,033.76 is: 222,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,758.86 : 601,088.70 = 148,033.76 : x
  2. Step 2: Convert to fraction form
    400,758.86/601,088.70 = 148,033.76/x
  3. Step 3: Cross multiply
    400,758.86x = 601,088.70 × 148,033.76
  4. Step 4: Simplify right side
    400,758.86x = 88,981,417,904.20
  5. Step 5: Solve for x
    x = 88,981,417,904.20/400,758.86
  6. Step 6: Final answer
    x = 222,032.31

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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.