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Finding the Fourth Proportional to 406,963.20, 610,435.20 and 111,475.20

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Solution

The fourth proportional to 406,963.20, 610,435.20 and 111,475.20 is: 167,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,963.20 : 610,435.20 = 111,475.20 : x
  2. Step 2: Convert to fraction form
    406,963.20/610,435.20 = 111,475.20/x
  3. Step 3: Cross multiply
    406,963.20x = 610,435.20 × 111,475.20
  4. Step 4: Simplify right side
    406,963.20x = 68,048,386,007.04
  5. Step 5: Solve for x
    x = 68,048,386,007.04/406,963.20
  6. Step 6: Final answer
    x = 167,210.17

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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.