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Finding the Fourth Proportional to 310,483.46, 428,216.56 and 208,478.18

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Solution

The fourth proportional to 310,483.46, 428,216.56 and 208,478.18 is: 287,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,483.46 : 428,216.56 = 208,478.18 : x
  2. Step 2: Convert to fraction form
    310,483.46/428,216.56 = 208,478.18/x
  3. Step 3: Cross multiply
    310,483.46x = 428,216.56 × 208,478.18
  4. Step 4: Simplify right side
    310,483.46x = 89,273,806,412.38
  5. Step 5: Solve for x
    x = 89,273,806,412.38/310,483.46
  6. Step 6: Final answer
    x = 287,531.61

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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.