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Finding the Fourth Proportional to 397,491.80, 596,032.90 and 148,045.40

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Solution

The fourth proportional to 397,491.80, 596,032.90 and 148,045.40 is: 221,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,491.80 : 596,032.90 = 148,045.40 : x
  2. Step 2: Convert to fraction form
    397,491.80/596,032.90 = 148,045.40/x
  3. Step 3: Cross multiply
    397,491.80x = 596,032.90 × 148,045.40
  4. Step 4: Simplify right side
    397,491.80x = 88,239,929,093.66
  5. Step 5: Solve for x
    x = 88,239,929,093.66/397,491.80
  6. Step 6: Final answer
    x = 221,991.82

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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.