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Finding the Fourth Proportional to 370,130.50, 510,780.36 and 200,364.76

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Solution

The fourth proportional to 370,130.50, 510,780.36 and 200,364.76 is: 276,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,130.50 : 510,780.36 = 200,364.76 : x
  2. Step 2: Convert to fraction form
    370,130.50/510,780.36 = 200,364.76/x
  3. Step 3: Cross multiply
    370,130.50x = 510,780.36 × 200,364.76
  4. Step 4: Simplify right side
    370,130.50x = 102,342,384,244.11
  5. Step 5: Solve for x
    x = 102,342,384,244.11/370,130.50
  6. Step 6: Final answer
    x = 276,503.51

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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.