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Finding the Fourth Proportional to 299,237.04, 413,096.76 and 186,096.24

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Solution

The fourth proportional to 299,237.04, 413,096.76 and 186,096.24 is: 256,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,237.04 : 413,096.76 = 186,096.24 : x
  2. Step 2: Convert to fraction form
    299,237.04/413,096.76 = 186,096.24/x
  3. Step 3: Cross multiply
    299,237.04x = 413,096.76 × 186,096.24
  4. Step 4: Simplify right side
    299,237.04x = 76,875,753,792.18
  5. Step 5: Solve for x
    x = 76,875,753,792.18/299,237.04
  6. Step 6: Final answer
    x = 256,905.88

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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.