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Finding the Fourth Proportional to 475,594.56, 656,387.52 and 294,364.80

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Solution

The fourth proportional to 475,594.56, 656,387.52 and 294,364.80 is: 406,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,594.56 : 656,387.52 = 294,364.80 : x
  2. Step 2: Convert to fraction form
    475,594.56/656,387.52 = 294,364.80/x
  3. Step 3: Cross multiply
    475,594.56x = 656,387.52 × 294,364.80
  4. Step 4: Simplify right side
    475,594.56x = 193,217,381,047.30
  5. Step 5: Solve for x
    x = 193,217,381,047.30/475,594.56
  6. Step 6: Final answer
    x = 406,264.91

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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.