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Finding the Fourth Proportional to 348,510.64, 522,834.03 and 111,835.12

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Solution

The fourth proportional to 348,510.64, 522,834.03 and 111,835.12 is: 167,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,510.64 : 522,834.03 = 111,835.12 : x
  2. Step 2: Convert to fraction form
    348,510.64/522,834.03 = 111,835.12/x
  3. Step 3: Cross multiply
    348,510.64x = 522,834.03 × 111,835.12
  4. Step 4: Simplify right side
    348,510.64x = 58,471,206,485.13
  5. Step 5: Solve for x
    x = 58,471,206,485.13/348,510.64
  6. Step 6: Final answer
    x = 167,774.52

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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.