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Finding the Fourth Proportional to 353,521.14, 530,364.75 and 116,863.80

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Solution

The fourth proportional to 353,521.14, 530,364.75 and 116,863.80 is: 175,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,521.14 : 530,364.75 = 116,863.80 : x
  2. Step 2: Convert to fraction form
    353,521.14/530,364.75 = 116,863.80/x
  3. Step 3: Cross multiply
    353,521.14x = 530,364.75 × 116,863.80
  4. Step 4: Simplify right side
    353,521.14x = 61,980,440,071.05
  5. Step 5: Solve for x
    x = 61,980,440,071.05/353,521.14
  6. Step 6: Final answer
    x = 175,323.15

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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.