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Finding the Fourth Proportional to 292,355.34, 438,496.56 and 82,009.68

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Solution

The fourth proportional to 292,355.34, 438,496.56 and 82,009.68 is: 123,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,355.34 : 438,496.56 = 82,009.68 : x
  2. Step 2: Convert to fraction form
    292,355.34/438,496.56 = 82,009.68/x
  3. Step 3: Cross multiply
    292,355.34x = 438,496.56 × 82,009.68
  4. Step 4: Simplify right side
    292,355.34x = 35,960,962,566.70
  5. Step 5: Solve for x
    x = 35,960,962,566.70/292,355.34
  6. Step 6: Final answer
    x = 123,004.30

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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.