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Finding the Fourth Proportional to 601,633.77, 830,230.81 and 359,772.23

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Solution

The fourth proportional to 601,633.77, 830,230.81 and 359,772.23 is: 496,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,633.77 : 830,230.81 = 359,772.23 : x
  2. Step 2: Convert to fraction form
    601,633.77/830,230.81 = 359,772.23/x
  3. Step 3: Cross multiply
    601,633.77x = 830,230.81 × 359,772.23
  4. Step 4: Simplify right side
    601,633.77x = 298,693,986,226.97
  5. Step 5: Solve for x
    x = 298,693,986,226.97/601,633.77
  6. Step 6: Final answer
    x = 496,471.44

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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.