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Finding the Fourth Proportional to 310,468, 428,446.40 and 176,332

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Solution

The fourth proportional to 310,468, 428,446.40 and 176,332 is: 243,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,468 : 428,446.40 = 176,332 : x
  2. Step 2: Convert to fraction form
    310,468/428,446.40 = 176,332/x
  3. Step 3: Cross multiply
    310,468x = 428,446.40 × 176,332
  4. Step 4: Simplify right side
    310,468x = 75,548,810,604.80
  5. Step 5: Solve for x
    x = 75,548,810,604.80/310,468
  6. Step 6: Final answer
    x = 243,338.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.