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Finding the Fourth Proportional to 346,049.80, 519,074.70 and 341,384.20

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Solution

The fourth proportional to 346,049.80, 519,074.70 and 341,384.20 is: 512,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,049.80 : 519,074.70 = 341,384.20 : x
  2. Step 2: Convert to fraction form
    346,049.80/519,074.70 = 341,384.20/x
  3. Step 3: Cross multiply
    346,049.80x = 519,074.70 × 341,384.20
  4. Step 4: Simplify right side
    346,049.80x = 177,203,901,199.74
  5. Step 5: Solve for x
    x = 177,203,901,199.74/346,049.80
  6. Step 6: Final answer
    x = 512,076.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.