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Finding the Fourth Proportional to 562,114.56, 775,698.42 and 320,474.94

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Solution

The fourth proportional to 562,114.56, 775,698.42 and 320,474.94 is: 442,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,114.56 : 775,698.42 = 320,474.94 : x
  2. Step 2: Convert to fraction form
    562,114.56/775,698.42 = 320,474.94/x
  3. Step 3: Cross multiply
    562,114.56x = 775,698.42 × 320,474.94
  4. Step 4: Simplify right side
    562,114.56x = 248,591,904,607.60
  5. Step 5: Solve for x
    x = 248,591,904,607.60/562,114.56
  6. Step 6: Final answer
    x = 442,244.20

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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.