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Finding the Fourth Proportional to 338,902.34, 507,552.02 and 294,286.64

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Solution

The fourth proportional to 338,902.34, 507,552.02 and 294,286.64 is: 440,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,902.34 : 507,552.02 = 294,286.64 : x
  2. Step 2: Convert to fraction form
    338,902.34/507,552.02 = 294,286.64/x
  3. Step 3: Cross multiply
    338,902.34x = 507,552.02 × 294,286.64
  4. Step 4: Simplify right side
    338,902.34x = 149,365,778,591.01
  5. Step 5: Solve for x
    x = 149,365,778,591.01/338,902.34
  6. Step 6: Final answer
    x = 440,733.98

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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.