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Finding the Fourth Proportional to 523,537.20, 785,305.80 and 149,560.20

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Solution

The fourth proportional to 523,537.20, 785,305.80 and 149,560.20 is: 224,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,537.20 : 785,305.80 = 149,560.20 : x
  2. Step 2: Convert to fraction form
    523,537.20/785,305.80 = 149,560.20/x
  3. Step 3: Cross multiply
    523,537.20x = 785,305.80 × 149,560.20
  4. Step 4: Simplify right side
    523,537.20x = 117,450,492,509.16
  5. Step 5: Solve for x
    x = 117,450,492,509.16/523,537.20
  6. Step 6: Final answer
    x = 224,340.30

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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.