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Finding the Fourth Proportional to 475,517.94, 656,281.90 and 294,288.24

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Solution

The fourth proportional to 475,517.94, 656,281.90 and 294,288.24 is: 406,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,517.94 : 656,281.90 = 294,288.24 : x
  2. Step 2: Convert to fraction form
    475,517.94/656,281.90 = 294,288.24/x
  3. Step 3: Cross multiply
    475,517.94x = 656,281.90 × 294,288.24
  4. Step 4: Simplify right side
    475,517.94x = 193,136,045,294.86
  5. Step 5: Solve for x
    x = 193,136,045,294.86/475,517.94
  6. Step 6: Final answer
    x = 406,159.32

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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.