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Finding the Fourth Proportional to 561,782.12, 775,259.28 and 307,133.24

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Solution

The fourth proportional to 561,782.12, 775,259.28 and 307,133.24 is: 423,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,782.12 : 775,259.28 = 307,133.24 : x
  2. Step 2: Convert to fraction form
    561,782.12/775,259.28 = 307,133.24/x
  3. Step 3: Cross multiply
    561,782.12x = 775,259.28 × 307,133.24
  4. Step 4: Simplify right side
    561,782.12x = 238,107,894,506.47
  5. Step 5: Solve for x
    x = 238,107,894,506.47/561,782.12
  6. Step 6: Final answer
    x = 423,843.85

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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.