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Finding the Fourth Proportional to 475,473.29, 656,220.35 and 294,243.59

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Solution

The fourth proportional to 475,473.29, 656,220.35 and 294,243.59 is: 406,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,473.29 : 656,220.35 = 294,243.59 : x
  2. Step 2: Convert to fraction form
    475,473.29/656,220.35 = 294,243.59/x
  3. Step 3: Cross multiply
    475,473.29x = 656,220.35 × 294,243.59
  4. Step 4: Simplify right side
    475,473.29x = 193,088,633,991.22
  5. Step 5: Solve for x
    x = 193,088,633,991.22/475,473.29
  6. Step 6: Final answer
    x = 406,097.76

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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.