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Finding the Fourth Proportional to 422,670.24, 634,044.48 and 152,865.84

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Solution

The fourth proportional to 422,670.24, 634,044.48 and 152,865.84 is: 229,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,670.24 : 634,044.48 = 152,865.84 : x
  2. Step 2: Convert to fraction form
    422,670.24/634,044.48 = 152,865.84/x
  3. Step 3: Cross multiply
    422,670.24x = 634,044.48 × 152,865.84
  4. Step 4: Simplify right side
    422,670.24x = 96,923,742,032.56
  5. Step 5: Solve for x
    x = 96,923,742,032.56/422,670.24
  6. Step 6: Final answer
    x = 229,312.91

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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.