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Finding the Fourth Proportional to 508,832.04, 702,138.48 and 293,967.50

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Solution

The fourth proportional to 508,832.04, 702,138.48 and 293,967.50 is: 405,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,832.04 : 702,138.48 = 293,967.50 : x
  2. Step 2: Convert to fraction form
    508,832.04/702,138.48 = 293,967.50/x
  3. Step 3: Cross multiply
    508,832.04x = 702,138.48 × 293,967.50
  4. Step 4: Simplify right side
    508,832.04x = 206,405,889,006.33
  5. Step 5: Solve for x
    x = 206,405,889,006.33/508,832.04
  6. Step 6: Final answer
    x = 405,646.40

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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.