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Finding the Fourth Proportional to 463,445.80, 695,279.64 and 193,423.78

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Solution

The fourth proportional to 463,445.80, 695,279.64 and 193,423.78 is: 290,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,445.80 : 695,279.64 = 193,423.78 : x
  2. Step 2: Convert to fraction form
    463,445.80/695,279.64 = 193,423.78/x
  3. Step 3: Cross multiply
    463,445.80x = 695,279.64 × 193,423.78
  4. Step 4: Simplify right side
    463,445.80x = 134,483,616,125.84
  5. Step 5: Solve for x
    x = 134,483,616,125.84/463,445.80
  6. Step 6: Final answer
    x = 290,181.97

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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.