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Finding the Fourth Proportional to 412,572.18, 617,564.16 and 283,736.82

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Solution

The fourth proportional to 412,572.18, 617,564.16 and 283,736.82 is: 424,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,572.18 : 617,564.16 = 283,736.82 : x
  2. Step 2: Convert to fraction form
    412,572.18/617,564.16 = 283,736.82/x
  3. Step 3: Cross multiply
    412,572.18x = 617,564.16 × 283,736.82
  4. Step 4: Simplify right side
    412,572.18x = 175,225,690,904.37
  5. Step 5: Solve for x
    x = 175,225,690,904.37/412,572.18
  6. Step 6: Final answer
    x = 424,715.24

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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.