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Finding the Fourth Proportional to 414,356.31, 571,862.23 and 233,075.88

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Solution

The fourth proportional to 414,356.31, 571,862.23 and 233,075.88 is: 321,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,356.31 : 571,862.23 = 233,075.88 : x
  2. Step 2: Convert to fraction form
    414,356.31/571,862.23 = 233,075.88/x
  3. Step 3: Cross multiply
    414,356.31x = 571,862.23 × 233,075.88
  4. Step 4: Simplify right side
    414,356.31x = 133,287,291,913.32
  5. Step 5: Solve for x
    x = 133,287,291,913.32/414,356.31
  6. Step 6: Final answer
    x = 321,673.13

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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.