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Finding the Fourth Proportional to 397,776.87, 596,480.32 and 144,881.30

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Solution

The fourth proportional to 397,776.87, 596,480.32 and 144,881.30 is: 217,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,776.87 : 596,480.32 = 144,881.30 : x
  2. Step 2: Convert to fraction form
    397,776.87/596,480.32 = 144,881.30/x
  3. Step 3: Cross multiply
    397,776.87x = 596,480.32 × 144,881.30
  4. Step 4: Simplify right side
    397,776.87x = 86,418,845,315.01
  5. Step 5: Solve for x
    x = 86,418,845,315.01/397,776.87
  6. Step 6: Final answer
    x = 217,254.58

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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.