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Finding the Fourth Proportional to 382,657.86, 574,069.73 and 116,411.38

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Solution

The fourth proportional to 382,657.86, 574,069.73 and 116,411.38 is: 174,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,657.86 : 574,069.73 = 116,411.38 : x
  2. Step 2: Convert to fraction form
    382,657.86/574,069.73 = 116,411.38/x
  3. Step 3: Cross multiply
    382,657.86x = 574,069.73 × 116,411.38
  4. Step 4: Simplify right side
    382,657.86x = 66,828,247,468.30
  5. Step 5: Solve for x
    x = 66,828,247,468.30/382,657.86
  6. Step 6: Final answer
    x = 174,642.30

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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.