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Finding the Fourth Proportional to 397,298.99, 596,323.01 and 144,823.51

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Solution

The fourth proportional to 397,298.99, 596,323.01 and 144,823.51 is: 217,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,298.99 : 596,323.01 = 144,823.51 : x
  2. Step 2: Convert to fraction form
    397,298.99/596,323.01 = 144,823.51/x
  3. Step 3: Cross multiply
    397,298.99x = 596,323.01 × 144,823.51
  4. Step 4: Simplify right side
    397,298.99x = 86,361,592,509.43
  5. Step 5: Solve for x
    x = 86,361,592,509.43/397,298.99
  6. Step 6: Final answer
    x = 217,371.79

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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.