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Finding the Fourth Proportional to 416,513.80, 624,765.18 and 100,973.48

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Solution

The fourth proportional to 416,513.80, 624,765.18 and 100,973.48 is: 151,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,513.80 : 624,765.18 = 100,973.48 : x
  2. Step 2: Convert to fraction form
    416,513.80/624,765.18 = 100,973.48/x
  3. Step 3: Cross multiply
    416,513.80x = 624,765.18 × 100,973.48
  4. Step 4: Simplify right side
    416,513.80x = 63,084,714,407.43
  5. Step 5: Solve for x
    x = 63,084,714,407.43/416,513.80
  6. Step 6: Final answer
    x = 151,458.88

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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.