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Finding the Fourth Proportional to 508,508.64, 762,795.36 and 171,583.20

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Solution

The fourth proportional to 508,508.64, 762,795.36 and 171,583.20 is: 257,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,508.64 : 762,795.36 = 171,583.20 : x
  2. Step 2: Convert to fraction form
    508,508.64/762,795.36 = 171,583.20/x
  3. Step 3: Cross multiply
    508,508.64x = 762,795.36 × 171,583.20
  4. Step 4: Simplify right side
    508,508.64x = 130,882,868,813.95
  5. Step 5: Solve for x
    x = 130,882,868,813.95/508,508.64
  6. Step 6: Final answer
    x = 257,385.73

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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.