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Finding the Fourth Proportional to 293,014.64, 404,312.28 and 192,537.20

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Solution

The fourth proportional to 293,014.64, 404,312.28 and 192,537.20 is: 265,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,014.64 : 404,312.28 = 192,537.20 : x
  2. Step 2: Convert to fraction form
    293,014.64/404,312.28 = 192,537.20/x
  3. Step 3: Cross multiply
    293,014.64x = 404,312.28 × 192,537.20
  4. Step 4: Simplify right side
    293,014.64x = 77,845,154,316.82
  5. Step 5: Solve for x
    x = 77,845,154,316.82/293,014.64
  6. Step 6: Final answer
    x = 265,669.85

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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.