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Finding the Fourth Proportional to 524,073.84, 785,917.36 and 187,024.32

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Solution

The fourth proportional to 524,073.84, 785,917.36 and 187,024.32 is: 280,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,073.84 : 785,917.36 = 187,024.32 : x
  2. Step 2: Convert to fraction form
    524,073.84/785,917.36 = 187,024.32/x
  3. Step 3: Cross multiply
    524,073.84x = 785,917.36 × 187,024.32
  4. Step 4: Simplify right side
    524,073.84x = 146,985,659,830.20
  5. Step 5: Solve for x
    x = 146,985,659,830.20/524,073.84
  6. Step 6: Final answer
    x = 280,467.46

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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.