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Finding the Fourth Proportional to 292,667.58, 438,950.34 and 82,255.50

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Solution

The fourth proportional to 292,667.58, 438,950.34 and 82,255.50 is: 123,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,667.58 : 438,950.34 = 82,255.50 : x
  2. Step 2: Convert to fraction form
    292,667.58/438,950.34 = 82,255.50/x
  3. Step 3: Cross multiply
    292,667.58x = 438,950.34 × 82,255.50
  4. Step 4: Simplify right side
    292,667.58x = 36,106,079,691.87
  5. Step 5: Solve for x
    x = 36,106,079,691.87/292,667.58
  6. Step 6: Final answer
    x = 123,368.91

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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.