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Finding the Fourth Proportional to 524,353.40, 785,946.90 and 287,865.80

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Solution

The fourth proportional to 524,353.40, 785,946.90 and 287,865.80 is: 431,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,353.40 : 785,946.90 = 287,865.80 : x
  2. Step 2: Convert to fraction form
    524,353.40/785,946.90 = 287,865.80/x
  3. Step 3: Cross multiply
    524,353.40x = 785,946.90 × 287,865.80
  4. Step 4: Simplify right side
    524,353.40x = 226,247,233,126.02
  5. Step 5: Solve for x
    x = 226,247,233,126.02/524,353.40
  6. Step 6: Final answer
    x = 431,478.53

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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.