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Finding the Fourth Proportional to 462,775.80, 694,039.14 and 163,217.50

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Solution

The fourth proportional to 462,775.80, 694,039.14 and 163,217.50 is: 244,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,775.80 : 694,039.14 = 163,217.50 : x
  2. Step 2: Convert to fraction form
    462,775.80/694,039.14 = 163,217.50/x
  3. Step 3: Cross multiply
    462,775.80x = 694,039.14 × 163,217.50
  4. Step 4: Simplify right side
    462,775.80x = 113,279,333,332.95
  5. Step 5: Solve for x
    x = 113,279,333,332.95/462,775.80
  6. Step 6: Final answer
    x = 244,782.32

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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.