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Finding the Fourth Proportional to 417,043.16, 626,561.84 and 267,577.04

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Solution

The fourth proportional to 417,043.16, 626,561.84 and 267,577.04 is: 402,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,043.16 : 626,561.84 = 267,577.04 : x
  2. Step 2: Convert to fraction form
    417,043.16/626,561.84 = 267,577.04/x
  3. Step 3: Cross multiply
    417,043.16x = 626,561.84 × 267,577.04
  4. Step 4: Simplify right side
    417,043.16x = 167,653,562,524.15
  5. Step 5: Solve for x
    x = 167,653,562,524.15/417,043.16
  6. Step 6: Final answer
    x = 402,005.30

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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.