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Finding the Fourth Proportional to 461,990.84, 692,986.20 and 173,856.64

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Solution

The fourth proportional to 461,990.84, 692,986.20 and 173,856.64 is: 260,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,990.84 : 692,986.20 = 173,856.64 : x
  2. Step 2: Convert to fraction form
    461,990.84/692,986.20 = 173,856.64/x
  3. Step 3: Cross multiply
    461,990.84x = 692,986.20 × 173,856.64
  4. Step 4: Simplify right side
    461,990.84x = 120,480,252,298.37
  5. Step 5: Solve for x
    x = 120,480,252,298.37/461,990.84
  6. Step 6: Final answer
    x = 260,784.94

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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.