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Finding the Fourth Proportional to 535,196.70, 802,114.65 and 219,296.70

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Solution

The fourth proportional to 535,196.70, 802,114.65 and 219,296.70 is: 328,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,196.70 : 802,114.65 = 219,296.70 : x
  2. Step 2: Convert to fraction form
    535,196.70/802,114.65 = 219,296.70/x
  3. Step 3: Cross multiply
    535,196.70x = 802,114.65 × 219,296.70
  4. Step 4: Simplify right side
    535,196.70x = 175,901,095,766.66
  5. Step 5: Solve for x
    x = 175,901,095,766.66/535,196.70
  6. Step 6: Final answer
    x = 328,666.26

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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.