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Finding the Fourth Proportional to 310,334.72, 428,262.42 and 176,198.72

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Solution

The fourth proportional to 310,334.72, 428,262.42 and 176,198.72 is: 243,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,334.72 : 428,262.42 = 176,198.72 : x
  2. Step 2: Convert to fraction form
    310,334.72/428,262.42 = 176,198.72/x
  3. Step 3: Cross multiply
    310,334.72x = 428,262.42 × 176,198.72
  4. Step 4: Simplify right side
    310,334.72x = 75,459,290,228.10
  5. Step 5: Solve for x
    x = 75,459,290,228.10/310,334.72
  6. Step 6: Final answer
    x = 243,154.52

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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.