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Finding the Fourth Proportional to 429,693.16, 593,249.88 and 293,953.36

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Solution

The fourth proportional to 429,693.16, 593,249.88 and 293,953.36 is: 405,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,693.16 : 593,249.88 = 293,953.36 : x
  2. Step 2: Convert to fraction form
    429,693.16/593,249.88 = 293,953.36/x
  3. Step 3: Cross multiply
    429,693.16x = 593,249.88 × 293,953.36
  4. Step 4: Simplify right side
    429,693.16x = 174,387,795,545.60
  5. Step 5: Solve for x
    x = 174,387,795,545.60/429,693.16
  6. Step 6: Final answer
    x = 405,842.61

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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.