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Finding the Fourth Proportional to 397,309, 596,338.02 and 144,833.50

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Solution

The fourth proportional to 397,309, 596,338.02 and 144,833.50 is: 217,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,309 : 596,338.02 = 144,833.50 : x
  2. Step 2: Convert to fraction form
    397,309/596,338.02 = 144,833.50/x
  3. Step 3: Cross multiply
    397,309x = 596,338.02 × 144,833.50
  4. Step 4: Simplify right side
    397,309x = 86,369,722,619.67
  5. Step 5: Solve for x
    x = 86,369,722,619.67/397,309
  6. Step 6: Final answer
    x = 217,386.78

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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.