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Finding the Fourth Proportional to 397,584.84, 596,506.86 and 187,244.04

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Solution

The fourth proportional to 397,584.84, 596,506.86 and 187,244.04 is: 280,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,584.84 : 596,506.86 = 187,244.04 : x
  2. Step 2: Convert to fraction form
    397,584.84/596,506.86 = 187,244.04/x
  3. Step 3: Cross multiply
    397,584.84x = 596,506.86 × 187,244.04
  4. Step 4: Simplify right side
    397,584.84x = 111,692,354,354.11
  5. Step 5: Solve for x
    x = 111,692,354,354.11/397,584.84
  6. Step 6: Final answer
    x = 280,927.10

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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.