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Finding the Fourth Proportional to 535,002.40, 802,114.80 and 219,296.80

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Solution

The fourth proportional to 535,002.40, 802,114.80 and 219,296.80 is: 328,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,002.40 : 802,114.80 = 219,296.80 : x
  2. Step 2: Convert to fraction form
    535,002.40/802,114.80 = 219,296.80/x
  3. Step 3: Cross multiply
    535,002.40x = 802,114.80 × 219,296.80
  4. Step 4: Simplify right side
    535,002.40x = 175,901,208,872.64
  5. Step 5: Solve for x
    x = 175,901,208,872.64/535,002.40
  6. Step 6: Final answer
    x = 328,785.83

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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.