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Finding the Fourth Proportional to 463,641.59, 694,560.03 and 341,840.27

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Solution

The fourth proportional to 463,641.59, 694,560.03 and 341,840.27 is: 512,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,641.59 : 694,560.03 = 341,840.27 : x
  2. Step 2: Convert to fraction form
    463,641.59/694,560.03 = 341,840.27/x
  3. Step 3: Cross multiply
    463,641.59x = 694,560.03 × 341,840.27
  4. Step 4: Simplify right side
    463,641.59x = 237,428,588,186.41
  5. Step 5: Solve for x
    x = 237,428,588,186.41/463,641.59
  6. Step 6: Final answer
    x = 512,095.10

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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.