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Finding the Fourth Proportional to 349,081.74, 523,633.98 and 96,381.18

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Solution

The fourth proportional to 349,081.74, 523,633.98 and 96,381.18 is: 144,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,081.74 : 523,633.98 = 96,381.18 : x
  2. Step 2: Convert to fraction form
    349,081.74/523,633.98 = 96,381.18/x
  3. Step 3: Cross multiply
    349,081.74x = 523,633.98 × 96,381.18
  4. Step 4: Simplify right side
    349,081.74x = 50,468,460,880.50
  5. Step 5: Solve for x
    x = 50,468,460,880.50/349,081.74
  6. Step 6: Final answer
    x = 144,574.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.