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Finding the Fourth Proportional to 500,931.16, 751,046.76 and 185,347.12

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Solution

The fourth proportional to 500,931.16, 751,046.76 and 185,347.12 is: 277,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,931.16 : 751,046.76 = 185,347.12 : x
  2. Step 2: Convert to fraction form
    500,931.16/751,046.76 = 185,347.12/x
  3. Step 3: Cross multiply
    500,931.16x = 751,046.76 × 185,347.12
  4. Step 4: Simplify right side
    500,931.16x = 139,204,353,951.33
  5. Step 5: Solve for x
    x = 139,204,353,951.33/500,931.16
  6. Step 6: Final answer
    x = 277,891.19

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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.