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Finding the Fourth Proportional to 292,599.55, 438,899.29 and 82,237.48

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Solution

The fourth proportional to 292,599.55, 438,899.29 and 82,237.48 is: 123,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,599.55 : 438,899.29 = 82,237.48 : x
  2. Step 2: Convert to fraction form
    292,599.55/438,899.29 = 82,237.48/x
  3. Step 3: Cross multiply
    292,599.55x = 438,899.29 × 82,237.48
  4. Step 4: Simplify right side
    292,599.55x = 36,093,971,583.39
  5. Step 5: Solve for x
    x = 36,093,971,583.39/292,599.55
  6. Step 6: Final answer
    x = 123,356.21

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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.