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Finding the Fourth Proportional to 307,264.50, 424,025.01 and 165,952.50

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Solution

The fourth proportional to 307,264.50, 424,025.01 and 165,952.50 is: 229,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,264.50 : 424,025.01 = 165,952.50 : x
  2. Step 2: Convert to fraction form
    307,264.50/424,025.01 = 165,952.50/x
  3. Step 3: Cross multiply
    307,264.50x = 424,025.01 × 165,952.50
  4. Step 4: Simplify right side
    307,264.50x = 70,368,010,472.03
  5. Step 5: Solve for x
    x = 70,368,010,472.03/307,264.50
  6. Step 6: Final answer
    x = 229,014.45

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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.