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Finding the Fourth Proportional to 634,017.66, 951,133.41 and 213,193.50

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Solution

The fourth proportional to 634,017.66, 951,133.41 and 213,193.50 is: 319,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,017.66 : 951,133.41 = 213,193.50 : x
  2. Step 2: Convert to fraction form
    634,017.66/951,133.41 = 213,193.50/x
  3. Step 3: Cross multiply
    634,017.66x = 951,133.41 × 213,193.50
  4. Step 4: Simplify right side
    634,017.66x = 202,775,460,644.84
  5. Step 5: Solve for x
    x = 202,775,460,644.84/634,017.66
  6. Step 6: Final answer
    x = 319,826.20

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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.