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Finding the Fourth Proportional to 406,873.57, 610,335.72 and 107,354.43

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Solution

The fourth proportional to 406,873.57, 610,335.72 and 107,354.43 is: 161,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,873.57 : 610,335.72 = 107,354.43 : x
  2. Step 2: Convert to fraction form
    406,873.57/610,335.72 = 107,354.43/x
  3. Step 3: Cross multiply
    406,873.57x = 610,335.72 × 107,354.43
  4. Step 4: Simplify right side
    406,873.57x = 65,522,242,792.47
  5. Step 5: Solve for x
    x = 65,522,242,792.47/406,873.57
  6. Step 6: Final answer
    x = 161,038.34

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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.