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Finding the Fourth Proportional to 707,462.88, 976,298.92 and 385,173

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Solution

The fourth proportional to 707,462.88, 976,298.92 and 385,173 is: 531,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,462.88 : 976,298.92 = 385,173 : x
  2. Step 2: Convert to fraction form
    707,462.88/976,298.92 = 385,173/x
  3. Step 3: Cross multiply
    707,462.88x = 976,298.92 × 385,173
  4. Step 4: Simplify right side
    707,462.88x = 376,043,983,913.16
  5. Step 5: Solve for x
    x = 376,043,983,913.16/707,462.88
  6. Step 6: Final answer
    x = 531,538.82

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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.