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Finding the Fourth Proportional to 523,342.07, 722,209.32 and 293,909.03

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Solution

The fourth proportional to 523,342.07, 722,209.32 and 293,909.03 is: 405,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,342.07 : 722,209.32 = 293,909.03 : x
  2. Step 2: Convert to fraction form
    523,342.07/722,209.32 = 293,909.03/x
  3. Step 3: Cross multiply
    523,342.07x = 722,209.32 × 293,909.03
  4. Step 4: Simplify right side
    523,342.07x = 212,263,839,606.41
  5. Step 5: Solve for x
    x = 212,263,839,606.41/523,342.07
  6. Step 6: Final answer
    x = 405,592.92

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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.