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Finding the Fourth Proportional to 307,264, 424,024.32 and 165,952

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Solution

The fourth proportional to 307,264, 424,024.32 and 165,952 is: 229,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,264 : 424,024.32 = 165,952 : x
  2. Step 2: Convert to fraction form
    307,264/424,024.32 = 165,952/x
  3. Step 3: Cross multiply
    307,264x = 424,024.32 × 165,952
  4. Step 4: Simplify right side
    307,264x = 70,367,683,952.64
  5. Step 5: Solve for x
    x = 70,367,683,952.64/307,264
  6. Step 6: Final answer
    x = 229,013.76

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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.