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Finding the Fourth Proportional to 437,638.65, 656,568.69 and 122,095.32

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Solution

The fourth proportional to 437,638.65, 656,568.69 and 122,095.32 is: 183,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,638.65 : 656,568.69 = 122,095.32 : x
  2. Step 2: Convert to fraction form
    437,638.65/656,568.69 = 122,095.32/x
  3. Step 3: Cross multiply
    437,638.65x = 656,568.69 × 122,095.32
  4. Step 4: Simplify right side
    437,638.65x = 80,163,964,307.53
  5. Step 5: Solve for x
    x = 80,163,964,307.53/437,638.65
  6. Step 6: Final answer
    x = 183,173.87

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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.