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Finding the Fourth Proportional to 360,877.14, 497,989.80 and 199,722.60

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Solution

The fourth proportional to 360,877.14, 497,989.80 and 199,722.60 is: 275,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,877.14 : 497,989.80 = 199,722.60 : x
  2. Step 2: Convert to fraction form
    360,877.14/497,989.80 = 199,722.60/x
  3. Step 3: Cross multiply
    360,877.14x = 497,989.80 × 199,722.60
  4. Step 4: Simplify right side
    360,877.14x = 99,459,817,629.48
  5. Step 5: Solve for x
    x = 99,459,817,629.48/360,877.14
  6. Step 6: Final answer
    x = 275,605.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.