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Finding the Fourth Proportional to 295,478, 443,464.96 and 153,410.48

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Solution

The fourth proportional to 295,478, 443,464.96 and 153,410.48 is: 230,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,478 : 443,464.96 = 153,410.48 : x
  2. Step 2: Convert to fraction form
    295,478/443,464.96 = 153,410.48/x
  3. Step 3: Cross multiply
    295,478x = 443,464.96 × 153,410.48
  4. Step 4: Simplify right side
    295,478x = 68,032,172,376.78
  5. Step 5: Solve for x
    x = 68,032,172,376.78/295,478
  6. Step 6: Final answer
    x = 230,244.46

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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.