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Finding the Fourth Proportional to 243,046.80, 364,570.20 and 229,268.70

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Solution

The fourth proportional to 243,046.80, 364,570.20 and 229,268.70 is: 343,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,046.80 : 364,570.20 = 229,268.70 : x
  2. Step 2: Convert to fraction form
    243,046.80/364,570.20 = 229,268.70/x
  3. Step 3: Cross multiply
    243,046.80x = 364,570.20 × 229,268.70
  4. Step 4: Simplify right side
    243,046.80x = 83,584,535,812.74
  5. Step 5: Solve for x
    x = 83,584,535,812.74/243,046.80
  6. Step 6: Final answer
    x = 343,903.05

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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.