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Finding the Fourth Proportional to 460,770.80, 690,682.26 and 176,394.40

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Solution

The fourth proportional to 460,770.80, 690,682.26 and 176,394.40 is: 264,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,770.80 : 690,682.26 = 176,394.40 : x
  2. Step 2: Convert to fraction form
    460,770.80/690,682.26 = 176,394.40/x
  3. Step 3: Cross multiply
    460,770.80x = 690,682.26 × 176,394.40
  4. Step 4: Simplify right side
    460,770.80x = 121,832,482,843.34
  5. Step 5: Solve for x
    x = 121,832,482,843.34/460,770.80
  6. Step 6: Final answer
    x = 264,410.16

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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.