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Finding the Fourth Proportional to 524,033.35, 785,906.02 and 144,864.07

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Solution

The fourth proportional to 524,033.35, 785,906.02 and 144,864.07 is: 217,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,033.35 : 785,906.02 = 144,864.07 : x
  2. Step 2: Convert to fraction form
    524,033.35/785,906.02 = 144,864.07/x
  3. Step 3: Cross multiply
    524,033.35x = 785,906.02 × 144,864.07
  4. Step 4: Simplify right side
    524,033.35x = 113,849,544,694.70
  5. Step 5: Solve for x
    x = 113,849,544,694.70/524,033.35
  6. Step 6: Final answer
    x = 217,256.30

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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.