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Finding the Fourth Proportional to 370,144.59, 510,799.70 and 200,378.71

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Solution

The fourth proportional to 370,144.59, 510,799.70 and 200,378.71 is: 276,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,144.59 : 510,799.70 = 200,378.71 : x
  2. Step 2: Convert to fraction form
    370,144.59/510,799.70 = 200,378.71/x
  3. Step 3: Cross multiply
    370,144.59x = 510,799.70 × 200,378.71
  4. Step 4: Simplify right side
    370,144.59x = 102,353,386,093.83
  5. Step 5: Solve for x
    x = 102,353,386,093.83/370,144.59
  6. Step 6: Final answer
    x = 276,522.72

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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.