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Finding the Fourth Proportional to 397,263.30, 595,894.95 and 144,828.83

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Solution

The fourth proportional to 397,263.30, 595,894.95 and 144,828.83 is: 217,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,263.30 : 595,894.95 = 144,828.83 : x
  2. Step 2: Convert to fraction form
    397,263.30/595,894.95 = 144,828.83/x
  3. Step 3: Cross multiply
    397,263.30x = 595,894.95 × 144,828.83
  4. Step 4: Simplify right side
    397,263.30x = 86,302,765,431.93
  5. Step 5: Solve for x
    x = 86,302,765,431.93/397,263.30
  6. Step 6: Final answer
    x = 217,243.24

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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.