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Finding the Fourth Proportional to 463,951, 695,926.50 and 113,743

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Solution

The fourth proportional to 463,951, 695,926.50 and 113,743 is: 170,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,951 : 695,926.50 = 113,743 : x
  2. Step 2: Convert to fraction form
    463,951/695,926.50 = 113,743/x
  3. Step 3: Cross multiply
    463,951x = 695,926.50 × 113,743
  4. Step 4: Simplify right side
    463,951x = 79,156,767,889.50
  5. Step 5: Solve for x
    x = 79,156,767,889.50/463,951
  6. Step 6: Final answer
    x = 170,614.50

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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.