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Finding the Fourth Proportional to 384,123.52, 530,094.48 and 214,354

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Solution

The fourth proportional to 384,123.52, 530,094.48 and 214,354 is: 295,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,123.52 : 530,094.48 = 214,354 : x
  2. Step 2: Convert to fraction form
    384,123.52/530,094.48 = 214,354/x
  3. Step 3: Cross multiply
    384,123.52x = 530,094.48 × 214,354
  4. Step 4: Simplify right side
    384,123.52x = 113,627,872,165.92
  5. Step 5: Solve for x
    x = 113,627,872,165.92/384,123.52
  6. Step 6: Final answer
    x = 295,810.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.