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Finding the Fourth Proportional to 429,937.49, 593,309.45 and 238,946.78

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Solution

The fourth proportional to 429,937.49, 593,309.45 and 238,946.78 is: 329,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,937.49 : 593,309.45 = 238,946.78 : x
  2. Step 2: Convert to fraction form
    429,937.49/593,309.45 = 238,946.78/x
  3. Step 3: Cross multiply
    429,937.49x = 593,309.45 × 238,946.78
  4. Step 4: Simplify right side
    429,937.49x = 141,769,378,459.79
  5. Step 5: Solve for x
    x = 141,769,378,459.79/429,937.49
  6. Step 6: Final answer
    x = 329,744.17

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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.