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Finding the Fourth Proportional to 307,747.58, 424,762.50 and 180,464.18

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Solution

The fourth proportional to 307,747.58, 424,762.50 and 180,464.18 is: 249,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,747.58 : 424,762.50 = 180,464.18 : x
  2. Step 2: Convert to fraction form
    307,747.58/424,762.50 = 180,464.18/x
  3. Step 3: Cross multiply
    307,747.58x = 424,762.50 × 180,464.18
  4. Step 4: Simplify right side
    307,747.58x = 76,654,414,133.44
  5. Step 5: Solve for x
    x = 76,654,414,133.44/307,747.58
  6. Step 6: Final answer
    x = 249,082.11

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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.