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Finding the Fourth Proportional to 493,308.95, 680,766.33 and 266,954.45

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Solution

The fourth proportional to 493,308.95, 680,766.33 and 266,954.45 is: 368,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,308.95 : 680,766.33 = 266,954.45 : x
  2. Step 2: Convert to fraction form
    493,308.95/680,766.33 = 266,954.45/x
  3. Step 3: Cross multiply
    493,308.95x = 680,766.33 × 266,954.45
  4. Step 4: Simplify right side
    493,308.95x = 181,733,597,799.84
  5. Step 5: Solve for x
    x = 181,733,597,799.84/493,308.95
  6. Step 6: Final answer
    x = 368,397.13

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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.