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Finding the Fourth Proportional to 384,575.90, 576,475.05 and 174,364.70

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Solution

The fourth proportional to 384,575.90, 576,475.05 and 174,364.70 is: 261,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,575.90 : 576,475.05 = 174,364.70 : x
  2. Step 2: Convert to fraction form
    384,575.90/576,475.05 = 174,364.70/x
  3. Step 3: Cross multiply
    384,575.90x = 576,475.05 × 174,364.70
  4. Step 4: Simplify right side
    384,575.90x = 100,516,899,150.74
  5. Step 5: Solve for x
    x = 100,516,899,150.74/384,575.90
  6. Step 6: Final answer
    x = 261,370.77

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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.