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Finding the Fourth Proportional to 571,247.84, 857,085 and 304,860.31

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Solution

The fourth proportional to 571,247.84, 857,085 and 304,860.31 is: 457,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,247.84 : 857,085 = 304,860.31 : x
  2. Step 2: Convert to fraction form
    571,247.84/857,085 = 304,860.31/x
  3. Step 3: Cross multiply
    571,247.84x = 857,085 × 304,860.31
  4. Step 4: Simplify right side
    571,247.84x = 261,291,194,510.93
  5. Step 5: Solve for x
    x = 261,291,194,510.93/571,247.84
  6. Step 6: Final answer
    x = 457,404.26

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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.