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Finding the Fourth Proportional to 429,808.71, 593,154.60 and 238,821.66

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Solution

The fourth proportional to 429,808.71, 593,154.60 and 238,821.66 is: 329,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,808.71 : 593,154.60 = 238,821.66 : x
  2. Step 2: Convert to fraction form
    429,808.71/593,154.60 = 238,821.66/x
  3. Step 3: Cross multiply
    429,808.71x = 593,154.60 × 238,821.66
  4. Step 4: Simplify right side
    429,808.71x = 141,658,166,208.64
  5. Step 5: Solve for x
    x = 141,658,166,208.64/429,808.71
  6. Step 6: Final answer
    x = 329,584.21

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Why These Related Problems?

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