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Finding the Fourth Proportional to 659,038.56, 988,646.40 and 232,474.20

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Solution

The fourth proportional to 659,038.56, 988,646.40 and 232,474.20 is: 348,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,038.56 : 988,646.40 = 232,474.20 : x
  2. Step 2: Convert to fraction form
    659,038.56/988,646.40 = 232,474.20/x
  3. Step 3: Cross multiply
    659,038.56x = 988,646.40 × 232,474.20
  4. Step 4: Simplify right side
    659,038.56x = 229,834,780,922.88
  5. Step 5: Solve for x
    x = 229,834,780,922.88/659,038.56
  6. Step 6: Final answer
    x = 348,742.54

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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.