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Finding the Fourth Proportional to 418,009.08, 627,004.98 and 102,467.64

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Solution

The fourth proportional to 418,009.08, 627,004.98 and 102,467.64 is: 153,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,009.08 : 627,004.98 = 102,467.64 : x
  2. Step 2: Convert to fraction form
    418,009.08/627,004.98 = 102,467.64/x
  3. Step 3: Cross multiply
    418,009.08x = 627,004.98 × 102,467.64
  4. Step 4: Simplify right side
    418,009.08x = 64,247,720,568.85
  5. Step 5: Solve for x
    x = 64,247,720,568.85/418,009.08
  6. Step 6: Final answer
    x = 153,699.34

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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.