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Finding the Fourth Proportional to 401,097.60, 601,808.40 and 176,500.80

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Solution

The fourth proportional to 401,097.60, 601,808.40 and 176,500.80 is: 264,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,097.60 : 601,808.40 = 176,500.80 : x
  2. Step 2: Convert to fraction form
    401,097.60/601,808.40 = 176,500.80/x
  3. Step 3: Cross multiply
    401,097.60x = 601,808.40 × 176,500.80
  4. Step 4: Simplify right side
    401,097.60x = 106,219,664,046.72
  5. Step 5: Solve for x
    x = 106,219,664,046.72/401,097.60
  6. Step 6: Final answer
    x = 264,822.49

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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.