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Finding the Fourth Proportional to 465,338.96, 697,851.48 and 177,082.19

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Solution

The fourth proportional to 465,338.96, 697,851.48 and 177,082.19 is: 265,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,338.96 : 697,851.48 = 177,082.19 : x
  2. Step 2: Convert to fraction form
    465,338.96/697,851.48 = 177,082.19/x
  3. Step 3: Cross multiply
    465,338.96x = 697,851.48 × 177,082.19
  4. Step 4: Simplify right side
    465,338.96x = 123,577,068,373.14
  5. Step 5: Solve for x
    x = 123,577,068,373.14/465,338.96
  6. Step 6: Final answer
    x = 265,563.55

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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.