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Finding the Fourth Proportional to 460,616.64, 690,770.66 and 176,241.03

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Solution

The fourth proportional to 460,616.64, 690,770.66 and 176,241.03 is: 264,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,616.64 : 690,770.66 = 176,241.03 : x
  2. Step 2: Convert to fraction form
    460,616.64/690,770.66 = 176,241.03/x
  3. Step 3: Cross multiply
    460,616.64x = 690,770.66 × 176,241.03
  4. Step 4: Simplify right side
    460,616.64x = 121,742,131,730.98
  5. Step 5: Solve for x
    x = 121,742,131,730.98/460,616.64
  6. Step 6: Final answer
    x = 264,302.50

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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.