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Finding the Fourth Proportional to 524,238.78, 785,782.56 and 299,108.39

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Solution

The fourth proportional to 524,238.78, 785,782.56 and 299,108.39 is: 448,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,238.78 : 785,782.56 = 299,108.39 : x
  2. Step 2: Convert to fraction form
    524,238.78/785,782.56 = 299,108.39/x
  3. Step 3: Cross multiply
    524,238.78x = 785,782.56 × 299,108.39
  4. Step 4: Simplify right side
    524,238.78x = 235,034,156,411.68
  5. Step 5: Solve for x
    x = 235,034,156,411.68/524,238.78
  6. Step 6: Final answer
    x = 448,334.17

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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.