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Finding the Fourth Proportional to 265,225.65, 397,834.58 and 65,546.04

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Solution

The fourth proportional to 265,225.65, 397,834.58 and 65,546.04 is: 98,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,225.65 : 397,834.58 = 65,546.04 : x
  2. Step 2: Convert to fraction form
    265,225.65/397,834.58 = 65,546.04/x
  3. Step 3: Cross multiply
    265,225.65x = 397,834.58 × 65,546.04
  4. Step 4: Simplify right side
    265,225.65x = 26,076,481,294.06
  5. Step 5: Solve for x
    x = 26,076,481,294.06/265,225.65
  6. Step 6: Final answer
    x = 98,318.10

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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.