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Finding the Fourth Proportional to 310,365, 428,304.15 and 176,229

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Solution

The fourth proportional to 310,365, 428,304.15 and 176,229 is: 243,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,365 : 428,304.15 = 176,229 : x
  2. Step 2: Convert to fraction form
    310,365/428,304.15 = 176,229/x
  3. Step 3: Cross multiply
    310,365x = 428,304.15 × 176,229
  4. Step 4: Simplify right side
    310,365x = 75,479,612,050.35
  5. Step 5: Solve for x
    x = 75,479,612,050.35/310,365
  6. Step 6: Final answer
    x = 243,196.28

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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.