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Finding the Fourth Proportional to 370,031.17, 510,644.51 and 200,265.25

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Solution

The fourth proportional to 370,031.17, 510,644.51 and 200,265.25 is: 276,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,031.17 : 510,644.51 = 200,265.25 : x
  2. Step 2: Convert to fraction form
    370,031.17/510,644.51 = 200,265.25/x
  3. Step 3: Cross multiply
    370,031.17x = 510,644.51 × 200,265.25
  4. Step 4: Simplify right side
    370,031.17x = 102,264,350,456.28
  5. Step 5: Solve for x
    x = 102,264,350,456.28/370,031.17
  6. Step 6: Final answer
    x = 276,366.85

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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.