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Finding the Fourth Proportional to 359,074.24, 495,493.32 and 208,180.96

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Solution

The fourth proportional to 359,074.24, 495,493.32 and 208,180.96 is: 287,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,074.24 : 495,493.32 = 208,180.96 : x
  2. Step 2: Convert to fraction form
    359,074.24/495,493.32 = 208,180.96/x
  3. Step 3: Cross multiply
    359,074.24x = 495,493.32 × 208,180.96
  4. Step 4: Simplify right side
    359,074.24x = 103,152,275,031.19
  5. Step 5: Solve for x
    x = 103,152,275,031.19/359,074.24
  6. Step 6: Final answer
    x = 287,272.84

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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.