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Finding the Fourth Proportional to 262,580.80, 362,484.48 and 177,834.88

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Solution

The fourth proportional to 262,580.80, 362,484.48 and 177,834.88 is: 245,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,580.80 : 362,484.48 = 177,834.88 : x
  2. Step 2: Convert to fraction form
    262,580.80/362,484.48 = 177,834.88/x
  3. Step 3: Cross multiply
    262,580.80x = 362,484.48 × 177,834.88
  4. Step 4: Simplify right side
    262,580.80x = 64,462,384,002.66
  5. Step 5: Solve for x
    x = 64,462,384,002.66/262,580.80
  6. Step 6: Final answer
    x = 245,495.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.