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Finding the Fourth Proportional to 731,760.86, 1,009,797 and 405,086.10

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Solution

The fourth proportional to 731,760.86, 1,009,797 and 405,086.10 is: 559,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,760.86 : 1,009,797 = 405,086.10 : x
  2. Step 2: Convert to fraction form
    731,760.86/1,009,797 = 405,086.10/x
  3. Step 3: Cross multiply
    731,760.86x = 1,009,797 × 405,086.10
  4. Step 4: Simplify right side
    731,760.86x = 409,054,728,521.70
  5. Step 5: Solve for x
    x = 409,054,728,521.70/731,760.86
  6. Step 6: Final answer
    x = 559,000.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.