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Finding the Fourth Proportional to 280,814.40, 421,223.40 and 112,348.80

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Solution

The fourth proportional to 280,814.40, 421,223.40 and 112,348.80 is: 168,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,814.40 : 421,223.40 = 112,348.80 : x
  2. Step 2: Convert to fraction form
    280,814.40/421,223.40 = 112,348.80/x
  3. Step 3: Cross multiply
    280,814.40x = 421,223.40 × 112,348.80
  4. Step 4: Simplify right side
    280,814.40x = 47,323,943,521.92
  5. Step 5: Solve for x
    x = 47,323,943,521.92/280,814.40
  6. Step 6: Final answer
    x = 168,523.92

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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.