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Finding the Fourth Proportional to 535,106.50, 802,772.38 and 198,149.92

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Solution

The fourth proportional to 535,106.50, 802,772.38 and 198,149.92 is: 297,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,106.50 : 802,772.38 = 198,149.92 : x
  2. Step 2: Convert to fraction form
    535,106.50/802,772.38 = 198,149.92/x
  3. Step 3: Cross multiply
    535,106.50x = 802,772.38 × 198,149.92
  4. Step 4: Simplify right side
    535,106.50x = 159,069,282,875.21
  5. Step 5: Solve for x
    x = 159,069,282,875.21/535,106.50
  6. Step 6: Final answer
    x = 297,266.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.