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Finding the Fourth Proportional to 513,663.58, 708,793.63 and 295,943.48

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Solution

The fourth proportional to 513,663.58, 708,793.63 and 295,943.48 is: 408,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,663.58 : 708,793.63 = 295,943.48 : x
  2. Step 2: Convert to fraction form
    513,663.58/708,793.63 = 295,943.48/x
  3. Step 3: Cross multiply
    513,663.58x = 708,793.63 × 295,943.48
  4. Step 4: Simplify right side
    513,663.58x = 209,762,849,180.21
  5. Step 5: Solve for x
    x = 209,762,849,180.21/513,663.58
  6. Step 6: Final answer
    x = 408,366.21

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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.