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Finding the Fourth Proportional to 310,365.84, 428,305.32 and 176,229.84

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Solution

The fourth proportional to 310,365.84, 428,305.32 and 176,229.84 is: 243,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,365.84 : 428,305.32 = 176,229.84 : x
  2. Step 2: Convert to fraction form
    310,365.84/428,305.32 = 176,229.84/x
  3. Step 3: Cross multiply
    310,365.84x = 428,305.32 × 176,229.84
  4. Step 4: Simplify right side
    310,365.84x = 75,480,178,014.75
  5. Step 5: Solve for x
    x = 75,480,178,014.75/310,365.84
  6. Step 6: Final answer
    x = 243,197.44

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1.5x scale

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.