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Finding the Fourth Proportional to 411,980.10, 617,970.15 and 253,695.30

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Solution

The fourth proportional to 411,980.10, 617,970.15 and 253,695.30 is: 380,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,980.10 : 617,970.15 = 253,695.30 : x
  2. Step 2: Convert to fraction form
    411,980.10/617,970.15 = 253,695.30/x
  3. Step 3: Cross multiply
    411,980.10x = 617,970.15 × 253,695.30
  4. Step 4: Simplify right side
    411,980.10x = 156,776,122,595.30
  5. Step 5: Solve for x
    x = 156,776,122,595.30/411,980.10
  6. Step 6: Final answer
    x = 380,542.95

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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.