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Finding the Fourth Proportional to 334,539.90, 461,663.91 and 181,578.08

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Solution

The fourth proportional to 334,539.90, 461,663.91 and 181,578.08 is: 250,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,539.90 : 461,663.91 = 181,578.08 : x
  2. Step 2: Convert to fraction form
    334,539.90/461,663.91 = 181,578.08/x
  3. Step 3: Cross multiply
    334,539.90x = 461,663.91 × 181,578.08
  4. Step 4: Simplify right side
    334,539.90x = 83,828,045,475.20
  5. Step 5: Solve for x
    x = 83,828,045,475.20/334,539.90
  6. Step 6: Final answer
    x = 250,577.13

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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.