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Finding the Fourth Proportional to 259,404.53, 357,923.81 and 157,483.64

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Solution

The fourth proportional to 259,404.53, 357,923.81 and 157,483.64 is: 217,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,404.53 : 357,923.81 = 157,483.64 : x
  2. Step 2: Convert to fraction form
    259,404.53/357,923.81 = 157,483.64/x
  3. Step 3: Cross multiply
    259,404.53x = 357,923.81 × 157,483.64
  4. Step 4: Simplify right side
    259,404.53x = 56,367,145,729.99
  5. Step 5: Solve for x
    x = 56,367,145,729.99/259,404.53
  6. Step 6: Final answer
    x = 217,294.38

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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.