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Finding the Fourth Proportional to 383,184.42, 574,776.63 and 116,946.33

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Solution

The fourth proportional to 383,184.42, 574,776.63 and 116,946.33 is: 175,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,184.42 : 574,776.63 = 116,946.33 : x
  2. Step 2: Convert to fraction form
    383,184.42/574,776.63 = 116,946.33/x
  3. Step 3: Cross multiply
    383,184.42x = 574,776.63 × 116,946.33
  4. Step 4: Simplify right side
    383,184.42x = 67,218,017,448.27
  5. Step 5: Solve for x
    x = 67,218,017,448.27/383,184.42
  6. Step 6: Final answer
    x = 175,419.50

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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.