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Finding the Fourth Proportional to 562,203.12, 775,882.40 and 320,491.44

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Solution

The fourth proportional to 562,203.12, 775,882.40 and 320,491.44 is: 442,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,203.12 : 775,882.40 = 320,491.44 : x
  2. Step 2: Convert to fraction form
    562,203.12/775,882.40 = 320,491.44/x
  3. Step 3: Cross multiply
    562,203.12x = 775,882.40 × 320,491.44
  4. Step 4: Simplify right side
    562,203.12x = 248,663,667,646.66
  5. Step 5: Solve for x
    x = 248,663,667,646.66/562,203.12
  6. Step 6: Final answer
    x = 442,302.18

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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.