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Finding the Fourth Proportional to 310,464, 465,700.32 and 88,848

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Solution

The fourth proportional to 310,464, 465,700.32 and 88,848 is: 133,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,464 : 465,700.32 = 88,848 : x
  2. Step 2: Convert to fraction form
    310,464/465,700.32 = 88,848/x
  3. Step 3: Cross multiply
    310,464x = 465,700.32 × 88,848
  4. Step 4: Simplify right side
    310,464x = 41,376,542,031.36
  5. Step 5: Solve for x
    x = 41,376,542,031.36/310,464
  6. Step 6: Final answer
    x = 133,273.24

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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.