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Finding the Fourth Proportional to 333,098.92, 499,298.46 and 122,602.60

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Solution

The fourth proportional to 333,098.92, 499,298.46 and 122,602.60 is: 183,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,098.92 : 499,298.46 = 122,602.60 : x
  2. Step 2: Convert to fraction form
    333,098.92/499,298.46 = 122,602.60/x
  3. Step 3: Cross multiply
    333,098.92x = 499,298.46 × 122,602.60
  4. Step 4: Simplify right side
    333,098.92x = 61,215,289,372.00
  5. Step 5: Solve for x
    x = 61,215,289,372.00/333,098.92
  6. Step 6: Final answer
    x = 183,775.11

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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.