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Finding the Fourth Proportional to 461,924.61, 692,911.52 and 146,406.12

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Solution

The fourth proportional to 461,924.61, 692,911.52 and 146,406.12 is: 219,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,924.61 : 692,911.52 = 146,406.12 : x
  2. Step 2: Convert to fraction form
    461,924.61/692,911.52 = 146,406.12/x
  3. Step 3: Cross multiply
    461,924.61x = 692,911.52 × 146,406.12
  4. Step 4: Simplify right side
    461,924.61x = 101,446,486,414.47
  5. Step 5: Solve for x
    x = 101,446,486,414.47/461,924.61
  6. Step 6: Final answer
    x = 219,616.98

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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.