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Finding the Fourth Proportional to 523,357.20, 722,250.30 and 293,954.82

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Solution

The fourth proportional to 523,357.20, 722,250.30 and 293,954.82 is: 405,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,357.20 : 722,250.30 = 293,954.82 : x
  2. Step 2: Convert to fraction form
    523,357.20/722,250.30 = 293,954.82/x
  3. Step 3: Cross multiply
    523,357.20x = 722,250.30 × 293,954.82
  4. Step 4: Simplify right side
    523,357.20x = 212,308,956,931.45
  5. Step 5: Solve for x
    x = 212,308,956,931.45/523,357.20
  6. Step 6: Final answer
    x = 405,667.40

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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.