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Finding the Fourth Proportional to 314,269.56, 471,463.02 and 104,055.48

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Solution

The fourth proportional to 314,269.56, 471,463.02 and 104,055.48 is: 156,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,269.56 : 471,463.02 = 104,055.48 : x
  2. Step 2: Convert to fraction form
    314,269.56/471,463.02 = 104,055.48/x
  3. Step 3: Cross multiply
    314,269.56x = 471,463.02 × 104,055.48
  4. Step 4: Simplify right side
    314,269.56x = 49,058,310,848.35
  5. Step 5: Solve for x
    x = 49,058,310,848.35/314,269.56
  6. Step 6: Final answer
    x = 156,102.65

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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.