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Finding the Fourth Proportional to 283,411.84, 425,117.04 and 194,395.36

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Solution

The fourth proportional to 283,411.84, 425,117.04 and 194,395.36 is: 291,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,411.84 : 425,117.04 = 194,395.36 : x
  2. Step 2: Convert to fraction form
    283,411.84/425,117.04 = 194,395.36/x
  3. Step 3: Cross multiply
    283,411.84x = 425,117.04 × 194,395.36
  4. Step 4: Simplify right side
    283,411.84x = 82,640,780,032.93
  5. Step 5: Solve for x
    x = 82,640,780,032.93/283,411.84
  6. Step 6: Final answer
    x = 291,592.55

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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.