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Finding the Fourth Proportional to 384,068.44, 576,187.98 and 147,411.28

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Solution

The fourth proportional to 384,068.44, 576,187.98 and 147,411.28 is: 221,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,068.44 : 576,187.98 = 147,411.28 : x
  2. Step 2: Convert to fraction form
    384,068.44/576,187.98 = 147,411.28/x
  3. Step 3: Cross multiply
    384,068.44x = 576,187.98 × 147,411.28
  4. Step 4: Simplify right side
    384,068.44x = 84,936,607,652.41
  5. Step 5: Solve for x
    x = 84,936,607,652.41/384,068.44
  6. Step 6: Final answer
    x = 221,149.67

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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.