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Finding the Fourth Proportional to 422,267.61, 633,270.43 and 152,360.63

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Solution

The fourth proportional to 422,267.61, 633,270.43 and 152,360.63 is: 228,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,267.61 : 633,270.43 = 152,360.63 : x
  2. Step 2: Convert to fraction form
    422,267.61/633,270.43 = 152,360.63/x
  3. Step 3: Cross multiply
    422,267.61x = 633,270.43 × 152,360.63
  4. Step 4: Simplify right side
    422,267.61x = 96,485,480,831.35
  5. Step 5: Solve for x
    x = 96,485,480,831.35/422,267.61
  6. Step 6: Final answer
    x = 228,493.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.