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Finding the Fourth Proportional to 413,056.80, 619,600.46 and 113,560.79

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Solution

The fourth proportional to 413,056.80, 619,600.46 and 113,560.79 is: 170,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,056.80 : 619,600.46 = 113,560.79 : x
  2. Step 2: Convert to fraction form
    413,056.80/619,600.46 = 113,560.79/x
  3. Step 3: Cross multiply
    413,056.80x = 619,600.46 × 113,560.79
  4. Step 4: Simplify right side
    413,056.80x = 70,362,314,056.16
  5. Step 5: Solve for x
    x = 70,362,314,056.16/413,056.80
  6. Step 6: Final answer
    x = 170,345.37

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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.