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Finding the Fourth Proportional to 524,223.14, 786,499.75 and 187,256.32

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Solution

The fourth proportional to 524,223.14, 786,499.75 and 187,256.32 is: 280,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,223.14 : 786,499.75 = 187,256.32 : x
  2. Step 2: Convert to fraction form
    524,223.14/786,499.75 = 187,256.32/x
  3. Step 3: Cross multiply
    524,223.14x = 786,499.75 × 187,256.32
  4. Step 4: Simplify right side
    524,223.14x = 147,277,051,557.80
  5. Step 5: Solve for x
    x = 147,277,051,557.80/524,223.14
  6. Step 6: Final answer
    x = 280,943.44

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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.