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Finding the Fourth Proportional to 462,818.52, 694,332 and 163,320.48

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Solution

The fourth proportional to 462,818.52, 694,332 and 163,320.48 is: 245,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,818.52 : 694,332 = 163,320.48 : x
  2. Step 2: Convert to fraction form
    462,818.52/694,332 = 163,320.48/x
  3. Step 3: Cross multiply
    462,818.52x = 694,332 × 163,320.48
  4. Step 4: Simplify right side
    462,818.52x = 113,398,635,519.36
  5. Step 5: Solve for x
    x = 113,398,635,519.36/462,818.52
  6. Step 6: Final answer
    x = 245,017.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.