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Finding the Fourth Proportional to 307,752.82, 424,769.74 and 180,469.42

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Solution

The fourth proportional to 307,752.82, 424,769.74 and 180,469.42 is: 249,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,752.82 : 424,769.74 = 180,469.42 : x
  2. Step 2: Convert to fraction form
    307,752.82/424,769.74 = 180,469.42/x
  3. Step 3: Cross multiply
    307,752.82x = 424,769.74 × 180,469.42
  4. Step 4: Simplify right side
    307,752.82x = 76,657,947,098.25
  5. Step 5: Solve for x
    x = 76,657,947,098.25/307,752.82
  6. Step 6: Final answer
    x = 249,089.34

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1.5x scale

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.