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Finding the Fourth Proportional to 370,053.54, 510,686.25 and 226,785.90

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Solution

The fourth proportional to 370,053.54, 510,686.25 and 226,785.90 is: 312,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,053.54 : 510,686.25 = 226,785.90 : x
  2. Step 2: Convert to fraction form
    370,053.54/510,686.25 = 226,785.90/x
  3. Step 3: Cross multiply
    370,053.54x = 510,686.25 × 226,785.90
  4. Step 4: Simplify right side
    370,053.54x = 115,816,440,823.88
  5. Step 5: Solve for x
    x = 115,816,440,823.88/370,053.54
  6. Step 6: Final answer
    x = 312,972.12

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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.