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Finding the Fourth Proportional to 383,053.46, 574,578.63 and 116,813.20

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Solution

The fourth proportional to 383,053.46, 574,578.63 and 116,813.20 is: 175,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,053.46 : 574,578.63 = 116,813.20 : x
  2. Step 2: Convert to fraction form
    383,053.46/574,578.63 = 116,813.20/x
  3. Step 3: Cross multiply
    383,053.46x = 574,578.63 × 116,813.20
  4. Step 4: Simplify right side
    383,053.46x = 67,118,368,421.92
  5. Step 5: Solve for x
    x = 67,118,368,421.92/383,053.46
  6. Step 6: Final answer
    x = 175,219.32

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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.