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Finding the Fourth Proportional to 468,166, 701,953.75 and 257,951.56

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Solution

The fourth proportional to 468,166, 701,953.75 and 257,951.56 is: 386,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,166 : 701,953.75 = 257,951.56 : x
  2. Step 2: Convert to fraction form
    468,166/701,953.75 = 257,951.56/x
  3. Step 3: Cross multiply
    468,166x = 701,953.75 × 257,951.56
  4. Step 4: Simplify right side
    468,166x = 181,070,064,860.35
  5. Step 5: Solve for x
    x = 181,070,064,860.35/468,166
  6. Step 6: Final answer
    x = 386,764.66

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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.