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Finding the Fourth Proportional to 322,053.12, 443,702.16 and 249,205.50

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Solution

The fourth proportional to 322,053.12, 443,702.16 and 249,205.50 is: 343,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,053.12 : 443,702.16 = 249,205.50 : x
  2. Step 2: Convert to fraction form
    322,053.12/443,702.16 = 249,205.50/x
  3. Step 3: Cross multiply
    322,053.12x = 443,702.16 × 249,205.50
  4. Step 4: Simplify right side
    322,053.12x = 110,573,018,633.88
  5. Step 5: Solve for x
    x = 110,573,018,633.88/322,053.12
  6. Step 6: Final answer
    x = 343,337.83

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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.