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Finding the Fourth Proportional to 338,565.42, 507,410.73 and 161,126.82

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Solution

The fourth proportional to 338,565.42, 507,410.73 and 161,126.82 is: 241,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,565.42 : 507,410.73 = 161,126.82 : x
  2. Step 2: Convert to fraction form
    338,565.42/507,410.73 = 161,126.82/x
  3. Step 3: Cross multiply
    338,565.42x = 507,410.73 × 161,126.82
  4. Step 4: Simplify right side
    338,565.42x = 81,757,477,358.78
  5. Step 5: Solve for x
    x = 81,757,477,358.78/338,565.42
  6. Step 6: Final answer
    x = 241,482.07

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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.