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Finding the Fourth Proportional to 445,032, 614,144.16 and 243,832.64

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Solution

The fourth proportional to 445,032, 614,144.16 and 243,832.64 is: 336,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,032 : 614,144.16 = 243,832.64 : x
  2. Step 2: Convert to fraction form
    445,032/614,144.16 = 243,832.64/x
  3. Step 3: Cross multiply
    445,032x = 614,144.16 × 243,832.64
  4. Step 4: Simplify right side
    445,032x = 149,748,391,873.38
  5. Step 5: Solve for x
    x = 149,748,391,873.38/445,032
  6. Step 6: Final answer
    x = 336,489.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.