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Finding the Fourth Proportional to 495,597.88, 743,284.70 and 229,212.16

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Solution

The fourth proportional to 495,597.88, 743,284.70 and 229,212.16 is: 343,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,597.88 : 743,284.70 = 229,212.16 : x
  2. Step 2: Convert to fraction form
    495,597.88/743,284.70 = 229,212.16/x
  3. Step 3: Cross multiply
    495,597.88x = 743,284.70 × 229,212.16
  4. Step 4: Simplify right side
    495,597.88x = 170,369,891,581.95
  5. Step 5: Solve for x
    x = 170,369,891,581.95/495,597.88
  6. Step 6: Final answer
    x = 343,766.38

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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.