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Finding the Fourth Proportional to 507,345.66, 760,958.01 and 133,397.82

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Solution

The fourth proportional to 507,345.66, 760,958.01 and 133,397.82 is: 200,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,345.66 : 760,958.01 = 133,397.82 : x
  2. Step 2: Convert to fraction form
    507,345.66/760,958.01 = 133,397.82/x
  3. Step 3: Cross multiply
    507,345.66x = 760,958.01 × 133,397.82
  4. Step 4: Simplify right side
    507,345.66x = 101,510,139,645.54
  5. Step 5: Solve for x
    x = 101,510,139,645.54/507,345.66
  6. Step 6: Final answer
    x = 200,080.83

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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.