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Finding the Fourth Proportional to 505,854.38, 698,404.47 and 324,644.42

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Solution

The fourth proportional to 505,854.38, 698,404.47 and 324,644.42 is: 448,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,854.38 : 698,404.47 = 324,644.42 : x
  2. Step 2: Convert to fraction form
    505,854.38/698,404.47 = 324,644.42/x
  3. Step 3: Cross multiply
    505,854.38x = 698,404.47 × 324,644.42
  4. Step 4: Simplify right side
    505,854.38x = 226,733,114,088.56
  5. Step 5: Solve for x
    x = 226,733,114,088.56/505,854.38
  6. Step 6: Final answer
    x = 448,218.15

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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.