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Finding the Fourth Proportional to 500,935.50, 751,501.62 and 185,395.14

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Solution

The fourth proportional to 500,935.50, 751,501.62 and 185,395.14 is: 278,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,935.50 : 751,501.62 = 185,395.14 : x
  2. Step 2: Convert to fraction form
    500,935.50/751,501.62 = 185,395.14/x
  3. Step 3: Cross multiply
    500,935.50x = 751,501.62 × 185,395.14
  4. Step 4: Simplify right side
    500,935.50x = 139,324,748,050.13
  5. Step 5: Solve for x
    x = 139,324,748,050.13/500,935.50
  6. Step 6: Final answer
    x = 278,129.12

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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.