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Finding the Fourth Proportional to 403,097.76, 604,273.32 and 178,338.96

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Solution

The fourth proportional to 403,097.76, 604,273.32 and 178,338.96 is: 267,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,097.76 : 604,273.32 = 178,338.96 : x
  2. Step 2: Convert to fraction form
    403,097.76/604,273.32 = 178,338.96/x
  3. Step 3: Cross multiply
    403,097.76x = 604,273.32 × 178,338.96
  4. Step 4: Simplify right side
    403,097.76x = 107,765,475,444.55
  5. Step 5: Solve for x
    x = 107,765,475,444.55/403,097.76
  6. Step 6: Final answer
    x = 267,343.28

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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.