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Finding the Fourth Proportional to 402,726.80, 555,748.76 and 221,437.46

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Solution

The fourth proportional to 402,726.80, 555,748.76 and 221,437.46 is: 305,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,726.80 : 555,748.76 = 221,437.46 : x
  2. Step 2: Convert to fraction form
    402,726.80/555,748.76 = 221,437.46/x
  3. Step 3: Cross multiply
    402,726.80x = 555,748.76 × 221,437.46
  4. Step 4: Simplify right side
    402,726.80x = 123,063,592,705.36
  5. Step 5: Solve for x
    x = 123,063,592,705.36/402,726.80
  6. Step 6: Final answer
    x = 305,575.87

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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.