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Finding the Fourth Proportional to 334,674, 461,853.36 and 183,774.24

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Solution

The fourth proportional to 334,674, 461,853.36 and 183,774.24 is: 253,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,674 : 461,853.36 = 183,774.24 : x
  2. Step 2: Convert to fraction form
    334,674/461,853.36 = 183,774.24/x
  3. Step 3: Cross multiply
    334,674x = 461,853.36 × 183,774.24
  4. Step 4: Simplify right side
    334,674x = 84,876,750,225.45
  5. Step 5: Solve for x
    x = 84,876,750,225.45/334,674
  6. Step 6: Final answer
    x = 253,610.23

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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.