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Finding the Fourth Proportional to 276,045.60, 414,068.40 and 231,430.80

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Solution

The fourth proportional to 276,045.60, 414,068.40 and 231,430.80 is: 347,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,045.60 : 414,068.40 = 231,430.80 : x
  2. Step 2: Convert to fraction form
    276,045.60/414,068.40 = 231,430.80/x
  3. Step 3: Cross multiply
    276,045.60x = 414,068.40 × 231,430.80
  4. Step 4: Simplify right side
    276,045.60x = 95,828,181,066.72
  5. Step 5: Solve for x
    x = 95,828,181,066.72/276,045.60
  6. Step 6: Final answer
    x = 347,146.20

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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.