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Finding the Fourth Proportional to 508,041.27, 700,937.42 and 293,153.13

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Solution

The fourth proportional to 508,041.27, 700,937.42 and 293,153.13 is: 404,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,041.27 : 700,937.42 = 293,153.13 : x
  2. Step 2: Convert to fraction form
    508,041.27/700,937.42 = 293,153.13/x
  3. Step 3: Cross multiply
    508,041.27x = 700,937.42 × 293,153.13
  4. Step 4: Simplify right side
    508,041.27x = 205,481,997,141.36
  5. Step 5: Solve for x
    x = 205,481,997,141.36/508,041.27
  6. Step 6: Final answer
    x = 404,459.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.