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Finding the Fourth Proportional to 416,048.64, 623,994.84 and 163,319.28

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Solution

The fourth proportional to 416,048.64, 623,994.84 and 163,319.28 is: 244,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,048.64 : 623,994.84 = 163,319.28 : x
  2. Step 2: Convert to fraction form
    416,048.64/623,994.84 = 163,319.28/x
  3. Step 3: Cross multiply
    416,048.64x = 623,994.84 × 163,319.28
  4. Step 4: Simplify right side
    416,048.64x = 101,910,387,992.52
  5. Step 5: Solve for x
    x = 101,910,387,992.52/416,048.64
  6. Step 6: Final answer
    x = 244,948.25

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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.