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Finding the Fourth Proportional to 414,748.80, 622,123.20 and 134,294.40

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Solution

The fourth proportional to 414,748.80, 622,123.20 and 134,294.40 is: 201,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,748.80 : 622,123.20 = 134,294.40 : x
  2. Step 2: Convert to fraction form
    414,748.80/622,123.20 = 134,294.40/x
  3. Step 3: Cross multiply
    414,748.80x = 622,123.20 × 134,294.40
  4. Step 4: Simplify right side
    414,748.80x = 83,547,661,870.08
  5. Step 5: Solve for x
    x = 83,547,661,870.08/414,748.80
  6. Step 6: Final answer
    x = 201,441.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.