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Finding the Fourth Proportional to 513,666.59, 708,797.76 and 295,946.48

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Solution

The fourth proportional to 513,666.59, 708,797.76 and 295,946.48 is: 408,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,666.59 : 708,797.76 = 295,946.48 : x
  2. Step 2: Convert to fraction form
    513,666.59/708,797.76 = 295,946.48/x
  3. Step 3: Cross multiply
    513,666.59x = 708,797.76 × 295,946.48
  4. Step 4: Simplify right side
    513,666.59x = 209,766,198,559.90
  5. Step 5: Solve for x
    x = 209,766,198,559.90/513,666.59
  6. Step 6: Final answer
    x = 408,370.34

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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.