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Finding the Fourth Proportional to 360,747, 497,829.24 and 207,729.36

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Solution

The fourth proportional to 360,747, 497,829.24 and 207,729.36 is: 286,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,747 : 497,829.24 = 207,729.36 : x
  2. Step 2: Convert to fraction form
    360,747/497,829.24 = 207,729.36/x
  3. Step 3: Cross multiply
    360,747x = 497,829.24 × 207,729.36
  4. Step 4: Simplify right side
    360,747x = 103,413,749,414.49
  5. Step 5: Solve for x
    x = 103,413,749,414.49/360,747
  6. Step 6: Final answer
    x = 286,665.58

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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.