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Finding the Fourth Proportional to 460,494.99, 690,816.32 and 194,294.72

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Solution

The fourth proportional to 460,494.99, 690,816.32 and 194,294.72 is: 291,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,494.99 : 690,816.32 = 194,294.72 : x
  2. Step 2: Convert to fraction form
    460,494.99/690,816.32 = 194,294.72/x
  3. Step 3: Cross multiply
    460,494.99x = 690,816.32 × 194,294.72
  4. Step 4: Simplify right side
    460,494.99x = 134,221,959,040.28
  5. Step 5: Solve for x
    x = 134,221,959,040.28/460,494.99
  6. Step 6: Final answer
    x = 291,473.22

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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.