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Finding the Fourth Proportional to 310,193.32, 428,062.98 and 176,048.68

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Solution

The fourth proportional to 310,193.32, 428,062.98 and 176,048.68 is: 242,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,193.32 : 428,062.98 = 176,048.68 : x
  2. Step 2: Convert to fraction form
    310,193.32/428,062.98 = 176,048.68/x
  3. Step 3: Cross multiply
    310,193.32x = 428,062.98 × 176,048.68
  4. Step 4: Simplify right side
    310,193.32x = 75,359,922,585.87
  5. Step 5: Solve for x
    x = 75,359,922,585.87/310,193.32
  6. Step 6: Final answer
    x = 242,945.02

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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.