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Finding the Fourth Proportional to 286,024.77, 429,458.76 and 159,912.23

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Solution

The fourth proportional to 286,024.77, 429,458.76 and 159,912.23 is: 240,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,024.77 : 429,458.76 = 159,912.23 : x
  2. Step 2: Convert to fraction form
    286,024.77/429,458.76 = 159,912.23/x
  3. Step 3: Cross multiply
    286,024.77x = 429,458.76 × 159,912.23
  4. Step 4: Simplify right side
    286,024.77x = 68,675,705,857.34
  5. Step 5: Solve for x
    x = 68,675,705,857.34/286,024.77
  6. Step 6: Final answer
    x = 240,104.05

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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.