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Finding the Fourth Proportional to 523,254.29, 722,081.72 and 293,813.39

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Solution

The fourth proportional to 523,254.29, 722,081.72 and 293,813.39 is: 405,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,254.29 : 722,081.72 = 293,813.39 : x
  2. Step 2: Convert to fraction form
    523,254.29/722,081.72 = 293,813.39/x
  3. Step 3: Cross multiply
    523,254.29x = 722,081.72 × 293,813.39
  4. Step 4: Simplify right side
    523,254.29x = 212,157,272,930.76
  5. Step 5: Solve for x
    x = 212,157,272,930.76/523,254.29
  6. Step 6: Final answer
    x = 405,457.31

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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.