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Finding the Fourth Proportional to 243,043.20, 364,564.80 and 229,921.20

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Solution

The fourth proportional to 243,043.20, 364,564.80 and 229,921.20 is: 344,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,043.20 : 364,564.80 = 229,921.20 : x
  2. Step 2: Convert to fraction form
    243,043.20/364,564.80 = 229,921.20/x
  3. Step 3: Cross multiply
    243,043.20x = 364,564.80 × 229,921.20
  4. Step 4: Simplify right side
    243,043.20x = 83,821,176,293.76
  5. Step 5: Solve for x
    x = 83,821,176,293.76/243,043.20
  6. Step 6: Final answer
    x = 344,881.80

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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.