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Finding the Fourth Proportional to 429,834, 593,159.16 and 238,842.48

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Solution

The fourth proportional to 429,834, 593,159.16 and 238,842.48 is: 329,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,834 : 593,159.16 = 238,842.48 : x
  2. Step 2: Convert to fraction form
    429,834/593,159.16 = 238,842.48/x
  3. Step 3: Cross multiply
    429,834x = 593,159.16 × 238,842.48
  4. Step 4: Simplify right side
    429,834x = 141,671,604,809.12
  5. Step 5: Solve for x
    x = 141,671,604,809.12/429,834
  6. Step 6: Final answer
    x = 329,596.09

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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.