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Finding the Fourth Proportional to 329,701.80, 494,552.70 and 249,985.65

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Solution

The fourth proportional to 329,701.80, 494,552.70 and 249,985.65 is: 374,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,701.80 : 494,552.70 = 249,985.65 : x
  2. Step 2: Convert to fraction form
    329,701.80/494,552.70 = 249,985.65/x
  3. Step 3: Cross multiply
    329,701.80x = 494,552.70 × 249,985.65
  4. Step 4: Simplify right side
    329,701.80x = 123,631,078,168.76
  5. Step 5: Solve for x
    x = 123,631,078,168.76/329,701.80
  6. Step 6: Final answer
    x = 374,978.48

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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.