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Finding the Fourth Proportional to 310,591.23, 465,424.23 and 160,631.28

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Solution

The fourth proportional to 310,591.23, 465,424.23 and 160,631.28 is: 240,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,591.23 : 465,424.23 = 160,631.28 : x
  2. Step 2: Convert to fraction form
    310,591.23/465,424.23 = 160,631.28/x
  3. Step 3: Cross multiply
    310,591.23x = 465,424.23 × 160,631.28
  4. Step 4: Simplify right side
    310,591.23x = 74,761,689,807.91
  5. Step 5: Solve for x
    x = 74,761,689,807.91/310,591.23
  6. Step 6: Final answer
    x = 240,707.67

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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.