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Finding the Fourth Proportional to 523,222.38, 722,060.70 and 293,797.98

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Solution

The fourth proportional to 523,222.38, 722,060.70 and 293,797.98 is: 405,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,222.38 : 722,060.70 = 293,797.98 : x
  2. Step 2: Convert to fraction form
    523,222.38/722,060.70 = 293,797.98/x
  3. Step 3: Cross multiply
    523,222.38x = 722,060.70 × 293,797.98
  4. Step 4: Simplify right side
    523,222.38x = 212,139,975,097.39
  5. Step 5: Solve for x
    x = 212,139,975,097.39/523,222.38
  6. Step 6: Final answer
    x = 405,448.97

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1.5x scale

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.