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Finding the Fourth Proportional to 429,840.14, 593,152.26 and 238,842.14

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Solution

The fourth proportional to 429,840.14, 593,152.26 and 238,842.14 is: 329,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,840.14 : 593,152.26 = 238,842.14 : x
  2. Step 2: Convert to fraction form
    429,840.14/593,152.26 = 238,842.14/x
  3. Step 3: Cross multiply
    429,840.14x = 593,152.26 × 238,842.14
  4. Step 4: Simplify right side
    429,840.14x = 141,669,755,124.24
  5. Step 5: Solve for x
    x = 141,669,755,124.24/429,840.14
  6. Step 6: Final answer
    x = 329,587.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.