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Finding the Fourth Proportional to 413,907.36, 571,348.20 and 241,881.18

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Solution

The fourth proportional to 413,907.36, 571,348.20 and 241,881.18 is: 333,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,907.36 : 571,348.20 = 241,881.18 : x
  2. Step 2: Convert to fraction form
    413,907.36/571,348.20 = 241,881.18/x
  3. Step 3: Cross multiply
    413,907.36x = 571,348.20 × 241,881.18
  4. Step 4: Simplify right side
    413,907.36x = 138,198,376,806.88
  5. Step 5: Solve for x
    x = 138,198,376,806.88/413,907.36
  6. Step 6: Final answer
    x = 333,887.22

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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.