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Finding the Fourth Proportional to 334,574.32, 461,724.44 and 183,682.80

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Solution

The fourth proportional to 334,574.32, 461,724.44 and 183,682.80 is: 253,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,574.32 : 461,724.44 = 183,682.80 : x
  2. Step 2: Convert to fraction form
    334,574.32/461,724.44 = 183,682.80/x
  3. Step 3: Cross multiply
    334,574.32x = 461,724.44 × 183,682.80
  4. Step 4: Simplify right side
    334,574.32x = 84,810,837,967.63
  5. Step 5: Solve for x
    x = 84,810,837,967.63/334,574.32
  6. Step 6: Final answer
    x = 253,488.79

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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.