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Finding the Fourth Proportional to 475,476.80, 656,225.25 and 294,247.10

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Solution

The fourth proportional to 475,476.80, 656,225.25 and 294,247.10 is: 406,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,476.80 : 656,225.25 = 294,247.10 : x
  2. Step 2: Convert to fraction form
    475,476.80/656,225.25 = 294,247.10/x
  3. Step 3: Cross multiply
    475,476.80x = 656,225.25 × 294,247.10
  4. Step 4: Simplify right side
    475,476.80x = 193,092,373,478.15
  5. Step 5: Solve for x
    x = 193,092,373,478.15/475,476.80
  6. Step 6: Final answer
    x = 406,102.62

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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.