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Finding the Fourth Proportional to 413,043.98, 619,446.87 and 113,534.33

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Solution

The fourth proportional to 413,043.98, 619,446.87 and 113,534.33 is: 170,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,043.98 : 619,446.87 = 113,534.33 : x
  2. Step 2: Convert to fraction form
    413,043.98/619,446.87 = 113,534.33/x
  3. Step 3: Cross multiply
    413,043.98x = 619,446.87 × 113,534.33
  4. Step 4: Simplify right side
    413,043.98x = 70,328,482,258.81
  5. Step 5: Solve for x
    x = 70,328,482,258.81/413,043.98
  6. Step 6: Final answer
    x = 170,268.75

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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.