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Finding the Fourth Proportional to 296,802.82, 409,595.38 and 182,144.79

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Solution

The fourth proportional to 296,802.82, 409,595.38 and 182,144.79 is: 251,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,802.82 : 409,595.38 = 182,144.79 : x
  2. Step 2: Convert to fraction form
    296,802.82/409,595.38 = 182,144.79/x
  3. Step 3: Cross multiply
    296,802.82x = 409,595.38 × 182,144.79
  4. Step 4: Simplify right side
    296,802.82x = 74,605,664,019.71
  5. Step 5: Solve for x
    x = 74,605,664,019.71/296,802.82
  6. Step 6: Final answer
    x = 251,364.40

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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.