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Finding the Fourth Proportional to 499,369.16, 748,703.82 and 183,785.06

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Solution

The fourth proportional to 499,369.16, 748,703.82 and 183,785.06 is: 275,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,369.16 : 748,703.82 = 183,785.06 : x
  2. Step 2: Convert to fraction form
    499,369.16/748,703.82 = 183,785.06/x
  3. Step 3: Cross multiply
    499,369.16x = 748,703.82 × 183,785.06
  4. Step 4: Simplify right side
    499,369.16x = 137,600,576,480.93
  5. Step 5: Solve for x
    x = 137,600,576,480.93/499,369.16
  6. Step 6: Final answer
    x = 275,548.81

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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.