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Finding the Fourth Proportional to 292,358.34, 438,501.06 and 82,012.68

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Solution

The fourth proportional to 292,358.34, 438,501.06 and 82,012.68 is: 123,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,358.34 : 438,501.06 = 82,012.68 : x
  2. Step 2: Convert to fraction form
    292,358.34/438,501.06 = 82,012.68/x
  3. Step 3: Cross multiply
    292,358.34x = 438,501.06 × 82,012.68
  4. Step 4: Simplify right side
    292,358.34x = 35,962,647,113.44
  5. Step 5: Solve for x
    x = 35,962,647,113.44/292,358.34
  6. Step 6: Final answer
    x = 123,008.80

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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.