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Finding the Fourth Proportional to 275,334.72, 413,045.28 and 117,564

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Solution

The fourth proportional to 275,334.72, 413,045.28 and 117,564 is: 176,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,334.72 : 413,045.28 = 117,564 : x
  2. Step 2: Convert to fraction form
    275,334.72/413,045.28 = 117,564/x
  3. Step 3: Cross multiply
    275,334.72x = 413,045.28 × 117,564
  4. Step 4: Simplify right side
    275,334.72x = 48,559,255,297.92
  5. Step 5: Solve for x
    x = 48,559,255,297.92/275,334.72
  6. Step 6: Final answer
    x = 176,364.45

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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.