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Finding the Fourth Proportional to 460,462.55, 690,767.63 and 194,262.28

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Solution

The fourth proportional to 460,462.55, 690,767.63 and 194,262.28 is: 291,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,462.55 : 690,767.63 = 194,262.28 : x
  2. Step 2: Convert to fraction form
    460,462.55/690,767.63 = 194,262.28/x
  3. Step 3: Cross multiply
    460,462.55x = 690,767.63 × 194,262.28
  4. Step 4: Simplify right side
    460,462.55x = 134,190,094,754.00
  5. Step 5: Solve for x
    x = 134,190,094,754.00/460,462.55
  6. Step 6: Final answer
    x = 291,424.56

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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.