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Finding the Fourth Proportional to 296,058.40, 443,828.40 and 177,776.80

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Solution

The fourth proportional to 296,058.40, 443,828.40 and 177,776.80 is: 266,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,058.40 : 443,828.40 = 177,776.80 : x
  2. Step 2: Convert to fraction form
    296,058.40/443,828.40 = 177,776.80/x
  3. Step 3: Cross multiply
    296,058.40x = 443,828.40 × 177,776.80
  4. Step 4: Simplify right side
    296,058.40x = 78,902,392,701.12
  5. Step 5: Solve for x
    x = 78,902,392,701.12/296,058.40
  6. Step 6: Final answer
    x = 266,509.56

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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.