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Finding the Fourth Proportional to 416,588.94, 574,891.86 and 225,601.74

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Solution

The fourth proportional to 416,588.94, 574,891.86 and 225,601.74 is: 311,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,588.94 : 574,891.86 = 225,601.74 : x
  2. Step 2: Convert to fraction form
    416,588.94/574,891.86 = 225,601.74/x
  3. Step 3: Cross multiply
    416,588.94x = 574,891.86 × 225,601.74
  4. Step 4: Simplify right side
    416,588.94x = 129,696,603,927.84
  5. Step 5: Solve for x
    x = 129,696,603,927.84/416,588.94
  6. Step 6: Final answer
    x = 311,329.93

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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.