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Finding the Fourth Proportional to 397,775.90, 596,478.87 and 144,880.33

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Solution

The fourth proportional to 397,775.90, 596,478.87 and 144,880.33 is: 217,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,775.90 : 596,478.87 = 144,880.33 : x
  2. Step 2: Convert to fraction form
    397,775.90/596,478.87 = 144,880.33/x
  3. Step 3: Cross multiply
    397,775.90x = 596,478.87 × 144,880.33
  4. Step 4: Simplify right side
    397,775.90x = 86,418,055,523.63
  5. Step 5: Solve for x
    x = 86,418,055,523.63/397,775.90
  6. Step 6: Final answer
    x = 217,253.12

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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.