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Finding the Fourth Proportional to 413,661.06, 570,790.08 and 232,338.24

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Solution

The fourth proportional to 413,661.06, 570,790.08 and 232,338.24 is: 320,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,661.06 : 570,790.08 = 232,338.24 : x
  2. Step 2: Convert to fraction form
    413,661.06/570,790.08 = 232,338.24/x
  3. Step 3: Cross multiply
    413,661.06x = 570,790.08 × 232,338.24
  4. Step 4: Simplify right side
    413,661.06x = 132,616,362,596.66
  5. Step 5: Solve for x
    x = 132,616,362,596.66/413,661.06
  6. Step 6: Final answer
    x = 320,591.85

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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.