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Finding the Fourth Proportional to 413,802.99, 571,029.89 and 241,736.88

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Solution

The fourth proportional to 413,802.99, 571,029.89 and 241,736.88 is: 333,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,802.99 : 571,029.89 = 241,736.88 : x
  2. Step 2: Convert to fraction form
    413,802.99/571,029.89 = 241,736.88/x
  3. Step 3: Cross multiply
    413,802.99x = 571,029.89 × 241,736.88
  4. Step 4: Simplify right side
    413,802.99x = 138,038,983,995.34
  5. Step 5: Solve for x
    x = 138,038,983,995.34/413,802.99
  6. Step 6: Final answer
    x = 333,586.24

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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.