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Finding the Fourth Proportional to 324,141.36, 447,337.53 and 180,929.40

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Solution

The fourth proportional to 324,141.36, 447,337.53 and 180,929.40 is: 249,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,141.36 : 447,337.53 = 180,929.40 : x
  2. Step 2: Convert to fraction form
    324,141.36/447,337.53 = 180,929.40/x
  3. Step 3: Cross multiply
    324,141.36x = 447,337.53 × 180,929.40
  4. Step 4: Simplify right side
    324,141.36x = 80,936,510,900.38
  5. Step 5: Solve for x
    x = 80,936,510,900.38/324,141.36
  6. Step 6: Final answer
    x = 249,695.10

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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.