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Finding the Fourth Proportional to 472,116.80, 706,447.20 and 347,700.80

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Solution

The fourth proportional to 472,116.80, 706,447.20 and 347,700.80 is: 520,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,116.80 : 706,447.20 = 347,700.80 : x
  2. Step 2: Convert to fraction form
    472,116.80/706,447.20 = 347,700.80/x
  3. Step 3: Cross multiply
    472,116.80x = 706,447.20 × 347,700.80
  4. Step 4: Simplify right side
    472,116.80x = 245,632,256,597.76
  5. Step 5: Solve for x
    x = 245,632,256,597.76/472,116.80
  6. Step 6: Final answer
    x = 520,278.58

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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.