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Finding the Fourth Proportional to 338,001, 507,499.92 and 188,533.32

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Solution

The fourth proportional to 338,001, 507,499.92 and 188,533.32 is: 283,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,001 : 507,499.92 = 188,533.32 : x
  2. Step 2: Convert to fraction form
    338,001/507,499.92 = 188,533.32/x
  3. Step 3: Cross multiply
    338,001x = 507,499.92 × 188,533.32
  4. Step 4: Simplify right side
    338,001x = 95,680,644,817.33
  5. Step 5: Solve for x
    x = 95,680,644,817.33/338,001
  6. Step 6: Final answer
    x = 283,077.99

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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.