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Finding the Fourth Proportional to 292,406.46, 438,256.26 and 142,422

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Solution

The fourth proportional to 292,406.46, 438,256.26 and 142,422 is: 213,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,406.46 : 438,256.26 = 142,422 : x
  2. Step 2: Convert to fraction form
    292,406.46/438,256.26 = 142,422/x
  3. Step 3: Cross multiply
    292,406.46x = 438,256.26 × 142,422
  4. Step 4: Simplify right side
    292,406.46x = 62,417,333,061.72
  5. Step 5: Solve for x
    x = 62,417,333,061.72/292,406.46
  6. Step 6: Final answer
    x = 213,460.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.