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Finding the Fourth Proportional to 463,543.60, 695,315.40 and 148,010.80

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Solution

The fourth proportional to 463,543.60, 695,315.40 and 148,010.80 is: 222,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,543.60 : 695,315.40 = 148,010.80 : x
  2. Step 2: Convert to fraction form
    463,543.60/695,315.40 = 148,010.80/x
  3. Step 3: Cross multiply
    463,543.60x = 695,315.40 × 148,010.80
  4. Step 4: Simplify right side
    463,543.60x = 102,914,188,606.32
  5. Step 5: Solve for x
    x = 102,914,188,606.32/463,543.60
  6. Step 6: Final answer
    x = 222,016.20

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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.