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Finding the Fourth Proportional to 314,739.56, 471,765.84 and 154,925.48

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Solution

The fourth proportional to 314,739.56, 471,765.84 and 154,925.48 is: 232,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,739.56 : 471,765.84 = 154,925.48 : x
  2. Step 2: Convert to fraction form
    314,739.56/471,765.84 = 154,925.48/x
  3. Step 3: Cross multiply
    314,739.56x = 471,765.84 × 154,925.48
  4. Step 4: Simplify right side
    314,739.56x = 73,088,549,209.60
  5. Step 5: Solve for x
    x = 73,088,549,209.60/314,739.56
  6. Step 6: Final answer
    x = 232,219.14

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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.