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Finding the Fourth Proportional to 354,410.47, 531,543.21 and 101,623.24

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Solution

The fourth proportional to 354,410.47, 531,543.21 and 101,623.24 is: 152,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,410.47 : 531,543.21 = 101,623.24 : x
  2. Step 2: Convert to fraction form
    354,410.47/531,543.21 = 101,623.24/x
  3. Step 3: Cross multiply
    354,410.47x = 531,543.21 × 101,623.24
  4. Step 4: Simplify right side
    354,410.47x = 54,017,143,200.20
  5. Step 5: Solve for x
    x = 54,017,143,200.20/354,410.47
  6. Step 6: Final answer
    x = 152,414.07

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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.