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Finding the Fourth Proportional to 422,950.07, 583,708.02 and 232,000.37

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Solution

The fourth proportional to 422,950.07, 583,708.02 and 232,000.37 is: 320,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,950.07 : 583,708.02 = 232,000.37 : x
  2. Step 2: Convert to fraction form
    422,950.07/583,708.02 = 232,000.37/x
  3. Step 3: Cross multiply
    422,950.07x = 583,708.02 × 232,000.37
  4. Step 4: Simplify right side
    422,950.07x = 135,420,478,071.24
  5. Step 5: Solve for x
    x = 135,420,478,071.24/422,950.07
  6. Step 6: Final answer
    x = 320,180.77

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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.