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Finding the Fourth Proportional to 460,857.52, 690,373.88 and 217,365.14

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Solution

The fourth proportional to 460,857.52, 690,373.88 and 217,365.14 is: 325,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,857.52 : 690,373.88 = 217,365.14 : x
  2. Step 2: Convert to fraction form
    460,857.52/690,373.88 = 217,365.14/x
  3. Step 3: Cross multiply
    460,857.52x = 690,373.88 × 217,365.14
  4. Step 4: Simplify right side
    460,857.52x = 150,063,213,991.72
  5. Step 5: Solve for x
    x = 150,063,213,991.72/460,857.52
  6. Step 6: Final answer
    x = 325,617.37

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1.5x scale

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.