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Finding the Fourth Proportional to 475,476.48, 656,224.80 and 294,246.84

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Solution

The fourth proportional to 475,476.48, 656,224.80 and 294,246.84 is: 406,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,476.48 : 656,224.80 = 294,246.84 : x
  2. Step 2: Convert to fraction form
    475,476.48/656,224.80 = 294,246.84/x
  3. Step 3: Cross multiply
    475,476.48x = 656,224.80 × 294,246.84
  4. Step 4: Simplify right side
    475,476.48x = 193,092,073,729.63
  5. Step 5: Solve for x
    x = 193,092,073,729.63/475,476.48
  6. Step 6: Final answer
    x = 406,102.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.