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Finding the Fourth Proportional to 456,350.85, 684,915.08 and 204,019.65

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Solution

The fourth proportional to 456,350.85, 684,915.08 and 204,019.65 is: 306,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,350.85 : 684,915.08 = 204,019.65 : x
  2. Step 2: Convert to fraction form
    456,350.85/684,915.08 = 204,019.65/x
  3. Step 3: Cross multiply
    456,350.85x = 684,915.08 × 204,019.65
  4. Step 4: Simplify right side
    456,350.85x = 139,736,133,881.22
  5. Step 5: Solve for x
    x = 139,736,133,881.22/456,350.85
  6. Step 6: Final answer
    x = 306,203.29

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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.