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Finding the Fourth Proportional to 292,394.37, 438,238.35 and 142,409.91

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Solution

The fourth proportional to 292,394.37, 438,238.35 and 142,409.91 is: 213,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,394.37 : 438,238.35 = 142,409.91 : x
  2. Step 2: Convert to fraction form
    292,394.37/438,238.35 = 142,409.91/x
  3. Step 3: Cross multiply
    292,394.37x = 438,238.35 × 142,409.91
  4. Step 4: Simplify right side
    292,394.37x = 62,409,483,982.05
  5. Step 5: Solve for x
    x = 62,409,483,982.05/292,394.37
  6. Step 6: Final answer
    x = 213,442.84

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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.