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Finding the Fourth Proportional to 384,087.32, 530,040.54 and 212,005.34

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Solution

The fourth proportional to 384,087.32, 530,040.54 and 212,005.34 is: 292,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,087.32 : 530,040.54 = 212,005.34 : x
  2. Step 2: Convert to fraction form
    384,087.32/530,040.54 = 212,005.34/x
  3. Step 3: Cross multiply
    384,087.32x = 530,040.54 × 212,005.34
  4. Step 4: Simplify right side
    384,087.32x = 112,371,422,246.28
  5. Step 5: Solve for x
    x = 112,371,422,246.28/384,087.32
  6. Step 6: Final answer
    x = 292,567.39

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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.