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Finding the Fourth Proportional to 310,708, 465,059.52 and 160,741.76

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Solution

The fourth proportional to 310,708, 465,059.52 and 160,741.76 is: 240,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,708 : 465,059.52 = 160,741.76 : x
  2. Step 2: Convert to fraction form
    310,708/465,059.52 = 160,741.76/x
  3. Step 3: Cross multiply
    310,708x = 465,059.52 × 160,741.76
  4. Step 4: Simplify right side
    310,708x = 74,754,485,749.56
  5. Step 5: Solve for x
    x = 74,754,485,749.56/310,708
  6. Step 6: Final answer
    x = 240,594.02

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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.