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Finding the Fourth Proportional to 393,256.56, 589,923.12 and 156,543.92

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Solution

The fourth proportional to 393,256.56, 589,923.12 and 156,543.92 is: 234,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,256.56 : 589,923.12 = 156,543.92 : x
  2. Step 2: Convert to fraction form
    393,256.56/589,923.12 = 156,543.92/x
  3. Step 3: Cross multiply
    393,256.56x = 589,923.12 × 156,543.92
  4. Step 4: Simplify right side
    393,256.56x = 92,348,877,703.43
  5. Step 5: Solve for x
    x = 92,348,877,703.43/393,256.56
  6. Step 6: Final answer
    x = 234,831.12

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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.