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Finding the Fourth Proportional to 228,476.24, 315,297.60 and 127,874.24

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Solution

The fourth proportional to 228,476.24, 315,297.60 and 127,874.24 is: 176,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,476.24 : 315,297.60 = 127,874.24 : x
  2. Step 2: Convert to fraction form
    228,476.24/315,297.60 = 127,874.24/x
  3. Step 3: Cross multiply
    228,476.24x = 315,297.60 × 127,874.24
  4. Step 4: Simplify right side
    228,476.24x = 40,318,440,973.82
  5. Step 5: Solve for x
    x = 40,318,440,973.82/228,476.24
  6. Step 6: Final answer
    x = 176,466.67

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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.