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Finding the Fourth Proportional to 334,559.84, 461,633.00 and 189,364.91

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Solution

The fourth proportional to 334,559.84, 461,633.00 and 189,364.91 is: 261,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,559.84 : 461,633.00 = 189,364.91 : x
  2. Step 2: Convert to fraction form
    334,559.84/461,633.00 = 189,364.91/x
  3. Step 3: Cross multiply
    334,559.84x = 461,633.00 × 189,364.91
  4. Step 4: Simplify right side
    334,559.84x = 87,417,088,243.04
  5. Step 5: Solve for x
    x = 87,417,088,243.04/334,559.84
  6. Step 6: Final answer
    x = 261,289.85

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1.5x scale

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.