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Finding the Fourth Proportional to 346,975.20, 519,685.20 and 284,767.20

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Solution

The fourth proportional to 346,975.20, 519,685.20 and 284,767.20 is: 426,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,975.20 : 519,685.20 = 284,767.20 : x
  2. Step 2: Convert to fraction form
    346,975.20/519,685.20 = 284,767.20/x
  3. Step 3: Cross multiply
    346,975.20x = 519,685.20 × 284,767.20
  4. Step 4: Simplify right side
    346,975.20x = 147,989,299,285.44
  5. Step 5: Solve for x
    x = 147,989,299,285.44/346,975.20
  6. Step 6: Final answer
    x = 426,512.61

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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.