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Finding the Fourth Proportional to 502,804.86, 693,873.43 and 296,082.23

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Solution

The fourth proportional to 502,804.86, 693,873.43 and 296,082.23 is: 408,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,804.86 : 693,873.43 = 296,082.23 : x
  2. Step 2: Convert to fraction form
    502,804.86/693,873.43 = 296,082.23/x
  3. Step 3: Cross multiply
    502,804.86x = 693,873.43 × 296,082.23
  4. Step 4: Simplify right side
    502,804.86x = 205,443,588,282.58
  5. Step 5: Solve for x
    x = 205,443,588,282.58/502,804.86
  6. Step 6: Final answer
    x = 408,595.08

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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.