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Finding the Fourth Proportional to 413,894.40, 571,131.60 and 232,577.52

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Solution

The fourth proportional to 413,894.40, 571,131.60 and 232,577.52 is: 320,933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,894.40 : 571,131.60 = 232,577.52 : x
  2. Step 2: Convert to fraction form
    413,894.40/571,131.60 = 232,577.52/x
  3. Step 3: Cross multiply
    413,894.40x = 571,131.60 × 232,577.52
  4. Step 4: Simplify right side
    413,894.40x = 132,832,371,121.63
  5. Step 5: Solve for x
    x = 132,832,371,121.63/413,894.40
  6. Step 6: Final answer
    x = 320,933.00

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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.