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Finding the Fourth Proportional to 502,837.37, 693,913.16 and 296,225.71

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Solution

The fourth proportional to 502,837.37, 693,913.16 and 296,225.71 is: 408,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,837.37 : 693,913.16 = 296,225.71 : x
  2. Step 2: Convert to fraction form
    502,837.37/693,913.16 = 296,225.71/x
  3. Step 3: Cross multiply
    502,837.37x = 693,913.16 × 296,225.71
  4. Step 4: Simplify right side
    502,837.37x = 205,554,917,505.13
  5. Step 5: Solve for x
    x = 205,554,917,505.13/502,837.37
  6. Step 6: Final answer
    x = 408,790.06

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