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Finding the Fourth Proportional to 418,011.96, 627,233.94 and 207,645.24

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Solution

The fourth proportional to 418,011.96, 627,233.94 and 207,645.24 is: 311,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,011.96 : 627,233.94 = 207,645.24 : x
  2. Step 2: Convert to fraction form
    418,011.96/627,233.94 = 207,645.24/x
  3. Step 3: Cross multiply
    418,011.96x = 627,233.94 × 207,645.24
  4. Step 4: Simplify right side
    418,011.96x = 130,242,142,007.45
  5. Step 5: Solve for x
    x = 130,242,142,007.45/418,011.96
  6. Step 6: Final answer
    x = 311,575.16

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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.