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Finding the Fourth Proportional to 521,728.16, 782,209.20 and 166,537.76

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Solution

The fourth proportional to 521,728.16, 782,209.20 and 166,537.76 is: 249,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,728.16 : 782,209.20 = 166,537.76 : x
  2. Step 2: Convert to fraction form
    521,728.16/782,209.20 = 166,537.76/x
  3. Step 3: Cross multiply
    521,728.16x = 782,209.20 × 166,537.76
  4. Step 4: Simplify right side
    521,728.16x = 130,267,368,019.39
  5. Step 5: Solve for x
    x = 130,267,368,019.39/521,728.16
  6. Step 6: Final answer
    x = 249,684.37

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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.