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Finding the Fourth Proportional to 493,159.74, 680,557.59 and 266,800.38

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Solution

The fourth proportional to 493,159.74, 680,557.59 and 266,800.38 is: 368,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,159.74 : 680,557.59 = 266,800.38 : x
  2. Step 2: Convert to fraction form
    493,159.74/680,557.59 = 266,800.38/x
  3. Step 3: Cross multiply
    493,159.74x = 680,557.59 × 266,800.38
  4. Step 4: Simplify right side
    493,159.74x = 181,573,023,623.88
  5. Step 5: Solve for x
    x = 181,573,023,623.88/493,159.74
  6. Step 6: Final answer
    x = 368,182.98

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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.