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Finding the Fourth Proportional to 393,096.51, 589,783.10 and 193,557.06

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Solution

The fourth proportional to 393,096.51, 589,783.10 and 193,557.06 is: 290,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,096.51 : 589,783.10 = 193,557.06 : x
  2. Step 2: Convert to fraction form
    393,096.51/589,783.10 = 193,557.06/x
  3. Step 3: Cross multiply
    393,096.51x = 589,783.10 × 193,557.06
  4. Step 4: Simplify right side
    393,096.51x = 114,156,681,905.90
  5. Step 5: Solve for x
    x = 114,156,681,905.90/393,096.51
  6. Step 6: Final answer
    x = 290,403.70

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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.