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Finding the Fourth Proportional to 463,480.20, 695,220.30 and 163,970.55

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Solution

The fourth proportional to 463,480.20, 695,220.30 and 163,970.55 is: 245,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,480.20 : 695,220.30 = 163,970.55 : x
  2. Step 2: Convert to fraction form
    463,480.20/695,220.30 = 163,970.55/x
  3. Step 3: Cross multiply
    463,480.20x = 695,220.30 × 163,970.55
  4. Step 4: Simplify right side
    463,480.20x = 113,995,654,962.17
  5. Step 5: Solve for x
    x = 113,995,654,962.17/463,480.20
  6. Step 6: Final answer
    x = 245,955.83

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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.