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Finding the Fourth Proportional to 299,495.46, 413,254.94 and 176,970.79

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Solution

The fourth proportional to 299,495.46, 413,254.94 and 176,970.79 is: 244,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,495.46 : 413,254.94 = 176,970.79 : x
  2. Step 2: Convert to fraction form
    299,495.46/413,254.94 = 176,970.79/x
  3. Step 3: Cross multiply
    299,495.46x = 413,254.94 × 176,970.79
  4. Step 4: Simplify right side
    299,495.46x = 73,134,052,612.49
  5. Step 5: Solve for x
    x = 73,134,052,612.49/299,495.46
  6. Step 6: Final answer
    x = 244,190.86

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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.