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Finding the Fourth Proportional to 462,822.68, 694,285.05 and 147,205.77

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Solution

The fourth proportional to 462,822.68, 694,285.05 and 147,205.77 is: 220,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,822.68 : 694,285.05 = 147,205.77 : x
  2. Step 2: Convert to fraction form
    462,822.68/694,285.05 = 147,205.77/x
  3. Step 3: Cross multiply
    462,822.68x = 694,285.05 × 147,205.77
  4. Step 4: Simplify right side
    462,822.68x = 102,202,765,384.74
  5. Step 5: Solve for x
    x = 102,202,765,384.74/462,822.68
  6. Step 6: Final answer
    x = 220,824.89

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1.5x scale

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.