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Finding the Fourth Proportional to 461,956.86, 692,959.86 and 146,438.46

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Solution

The fourth proportional to 461,956.86, 692,959.86 and 146,438.46 is: 219,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,956.86 : 692,959.86 = 146,438.46 : x
  2. Step 2: Convert to fraction form
    461,956.86/692,959.86 = 146,438.46/x
  3. Step 3: Cross multiply
    461,956.86x = 692,959.86 × 146,438.46
  4. Step 4: Simplify right side
    461,956.86x = 101,475,974,740.22
  5. Step 5: Solve for x
    x = 101,475,974,740.22/461,956.86
  6. Step 6: Final answer
    x = 219,665.48

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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.