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Finding the Fourth Proportional to 460,041.44, 690,126.96 and 160,478.34

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Solution

The fourth proportional to 460,041.44, 690,126.96 and 160,478.34 is: 240,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,041.44 : 690,126.96 = 160,478.34 : x
  2. Step 2: Convert to fraction form
    460,041.44/690,126.96 = 160,478.34/x
  3. Step 3: Cross multiply
    460,041.44x = 690,126.96 × 160,478.34
  4. Step 4: Simplify right side
    460,041.44x = 110,750,428,930.05
  5. Step 5: Solve for x
    x = 110,750,428,930.05/460,041.44
  6. Step 6: Final answer
    x = 240,740.11

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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.