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Finding the Fourth Proportional to 705,096.96, 973,094.06 and 399,227.24

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Solution

The fourth proportional to 705,096.96, 973,094.06 and 399,227.24 is: 550,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,096.96 : 973,094.06 = 399,227.24 : x
  2. Step 2: Convert to fraction form
    705,096.96/973,094.06 = 399,227.24/x
  3. Step 3: Cross multiply
    705,096.96x = 973,094.06 × 399,227.24
  4. Step 4: Simplify right side
    705,096.96x = 388,485,655,834.19
  5. Step 5: Solve for x
    x = 388,485,655,834.19/705,096.96
  6. Step 6: Final answer
    x = 550,967.71

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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.