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Finding the Fourth Proportional to 425,862.32, 639,720.74 and 257,461.95

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Solution

The fourth proportional to 425,862.32, 639,720.74 and 257,461.95 is: 386,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,862.32 : 639,720.74 = 257,461.95 : x
  2. Step 2: Convert to fraction form
    425,862.32/639,720.74 = 257,461.95/x
  3. Step 3: Cross multiply
    425,862.32x = 639,720.74 × 257,461.95
  4. Step 4: Simplify right side
    425,862.32x = 164,703,749,175.84
  5. Step 5: Solve for x
    x = 164,703,749,175.84/425,862.32
  6. Step 6: Final answer
    x = 386,753.52

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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.