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Finding the Fourth Proportional to 442,073.17, 662,112.78 and 309,545.11

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Solution

The fourth proportional to 442,073.17, 662,112.78 and 309,545.11 is: 463,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,073.17 : 662,112.78 = 309,545.11 : x
  2. Step 2: Convert to fraction form
    442,073.17/662,112.78 = 309,545.11/x
  3. Step 3: Cross multiply
    442,073.17x = 662,112.78 × 309,545.11
  4. Step 4: Simplify right side
    442,073.17x = 204,953,773,317.51
  5. Step 5: Solve for x
    x = 204,953,773,317.51/442,073.17
  6. Step 6: Final answer
    x = 463,619.57

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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.