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Finding the Fourth Proportional to 562,115.08, 775,715.70 and 320,437

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Solution

The fourth proportional to 562,115.08, 775,715.70 and 320,437 is: 442,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,115.08 : 775,715.70 = 320,437 : x
  2. Step 2: Convert to fraction form
    562,115.08/775,715.70 = 320,437/x
  3. Step 3: Cross multiply
    562,115.08x = 775,715.70 × 320,437
  4. Step 4: Simplify right side
    562,115.08x = 248,568,011,760.90
  5. Step 5: Solve for x
    x = 248,568,011,760.90/562,115.08
  6. Step 6: Final answer
    x = 442,201.29

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