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Finding the Fourth Proportional to 370,047.91, 510,678.50 and 226,780.29

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Solution

The fourth proportional to 370,047.91, 510,678.50 and 226,780.29 is: 312,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,047.91 : 510,678.50 = 226,780.29 : x
  2. Step 2: Convert to fraction form
    370,047.91/510,678.50 = 226,780.29/x
  3. Step 3: Cross multiply
    370,047.91x = 510,678.50 × 226,780.29
  4. Step 4: Simplify right side
    370,047.91x = 115,811,818,326.77
  5. Step 5: Solve for x
    x = 115,811,818,326.77/370,047.91
  6. Step 6: Final answer
    x = 312,964.39

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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.