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Finding the Fourth Proportional to 475,952.40, 656,812.32 and 294,628.16

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Solution

The fourth proportional to 475,952.40, 656,812.32 and 294,628.16 is: 406,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,952.40 : 656,812.32 = 294,628.16 : x
  2. Step 2: Convert to fraction form
    475,952.40/656,812.32 = 294,628.16/x
  3. Step 3: Cross multiply
    475,952.40x = 656,812.32 × 294,628.16
  4. Step 4: Simplify right side
    475,952.40x = 193,515,405,306.93
  5. Step 5: Solve for x
    x = 193,515,405,306.93/475,952.40
  6. Step 6: Final answer
    x = 406,585.63

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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.