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Finding the Fourth Proportional to 523,813.93, 785,720.85 and 149,836.93

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Solution

The fourth proportional to 523,813.93, 785,720.85 and 149,836.93 is: 224,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,813.93 : 785,720.85 = 149,836.93 : x
  2. Step 2: Convert to fraction form
    523,813.93/785,720.85 = 149,836.93/x
  3. Step 3: Cross multiply
    523,813.93x = 785,720.85 × 149,836.93
  4. Step 4: Simplify right side
    523,813.93x = 117,730,000,000.99
  5. Step 5: Solve for x
    x = 117,730,000,000.99/523,813.93
  6. Step 6: Final answer
    x = 224,755.38

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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.