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Finding the Fourth Proportional to 310,350.52, 428,447.38 and 208,909.32

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Solution

The fourth proportional to 310,350.52, 428,447.38 and 208,909.32 is: 288,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,350.52 : 428,447.38 = 208,909.32 : x
  2. Step 2: Convert to fraction form
    310,350.52/428,447.38 = 208,909.32/x
  3. Step 3: Cross multiply
    310,350.52x = 428,447.38 × 208,909.32
  4. Step 4: Simplify right side
    310,350.52x = 89,506,650,811.58
  5. Step 5: Solve for x
    x = 89,506,650,811.58/310,350.52
  6. Step 6: Final answer
    x = 288,405.03

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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.