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Finding the Fourth Proportional to 442,332.34, 663,498.98 and 109,908.34

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Solution

The fourth proportional to 442,332.34, 663,498.98 and 109,908.34 is: 164,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,332.34 : 663,498.98 = 109,908.34 : x
  2. Step 2: Convert to fraction form
    442,332.34/663,498.98 = 109,908.34/x
  3. Step 3: Cross multiply
    442,332.34x = 663,498.98 × 109,908.34
  4. Step 4: Simplify right side
    442,332.34x = 72,924,071,483.49
  5. Step 5: Solve for x
    x = 72,924,071,483.49/442,332.34
  6. Step 6: Final answer
    x = 164,862.63

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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.