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Finding the Fourth Proportional to 463,876.47, 695,949.57 and 194,131.89

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Solution

The fourth proportional to 463,876.47, 695,949.57 and 194,131.89 is: 291,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,876.47 : 695,949.57 = 194,131.89 : x
  2. Step 2: Convert to fraction form
    463,876.47/695,949.57 = 194,131.89/x
  3. Step 3: Cross multiply
    463,876.47x = 695,949.57 × 194,131.89
  4. Step 4: Simplify right side
    463,876.47x = 135,106,005,368.79
  5. Step 5: Solve for x
    x = 135,106,005,368.79/463,876.47
  6. Step 6: Final answer
    x = 291,254.28

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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.