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Finding the Fourth Proportional to 324,094.86, 447,206.12 and 180,827.06

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Solution

The fourth proportional to 324,094.86, 447,206.12 and 180,827.06 is: 249,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,094.86 : 447,206.12 = 180,827.06 : x
  2. Step 2: Convert to fraction form
    324,094.86/447,206.12 = 180,827.06/x
  3. Step 3: Cross multiply
    324,094.86x = 447,206.12 × 180,827.06
  4. Step 4: Simplify right side
    324,094.86x = 80,866,967,893.61
  5. Step 5: Solve for x
    x = 80,866,967,893.61/324,094.86
  6. Step 6: Final answer
    x = 249,516.35

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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.