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Finding the Fourth Proportional to 284,411.19, 426,642.30 and 74,050.95

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Solution

The fourth proportional to 284,411.19, 426,642.30 and 74,050.95 is: 111,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,411.19 : 426,642.30 = 74,050.95 : x
  2. Step 2: Convert to fraction form
    284,411.19/426,642.30 = 74,050.95/x
  3. Step 3: Cross multiply
    284,411.19x = 426,642.30 × 74,050.95
  4. Step 4: Simplify right side
    284,411.19x = 31,593,265,121.72
  5. Step 5: Solve for x
    x = 31,593,265,121.72/284,411.19
  6. Step 6: Final answer
    x = 111,083.06

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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.