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Finding the Fourth Proportional to 370,280.10, 510,988.42 and 200,514.90

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Solution

The fourth proportional to 370,280.10, 510,988.42 and 200,514.90 is: 276,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,280.10 : 510,988.42 = 200,514.90 : x
  2. Step 2: Convert to fraction form
    370,280.10/510,988.42 = 200,514.90/x
  3. Step 3: Cross multiply
    370,280.10x = 510,988.42 × 200,514.90
  4. Step 4: Simplify right side
    370,280.10x = 102,460,791,937.46
  5. Step 5: Solve for x
    x = 102,460,791,937.46/370,280.10
  6. Step 6: Final answer
    x = 276,711.58

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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.