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Finding the Fourth Proportional to 543,695.40, 762,748.20 and 543,695.40

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Solution

The fourth proportional to 543,695.40, 762,748.20 and 543,695.40 is: 762,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,695.40 : 762,748.20 = 543,695.40 : x
  2. Step 2: Convert to fraction form
    543,695.40/762,748.20 = 543,695.40/x
  3. Step 3: Cross multiply
    543,695.40x = 762,748.20 × 543,695.40
  4. Step 4: Simplify right side
    543,695.40x = 414,702,687,698.28
  5. Step 5: Solve for x
    x = 414,702,687,698.28/543,695.40
  6. Step 6: Final answer
    x = 762,748.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.