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Finding the Fourth Proportional to 508,697.10, 702,035.19 and 293,846.22

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Solution

The fourth proportional to 508,697.10, 702,035.19 and 293,846.22 is: 405,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,697.10 : 702,035.19 = 293,846.22 : x
  2. Step 2: Convert to fraction form
    508,697.10/702,035.19 = 293,846.22/x
  3. Step 3: Cross multiply
    508,697.10x = 702,035.19 × 293,846.22
  4. Step 4: Simplify right side
    508,697.10x = 206,290,386,888.48
  5. Step 5: Solve for x
    x = 206,290,386,888.48/508,697.10
  6. Step 6: Final answer
    x = 405,526.96

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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.