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Finding the Fourth Proportional to 414,588.24, 572,125.07 and 233,300.07

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Solution

The fourth proportional to 414,588.24, 572,125.07 and 233,300.07 is: 321,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,588.24 : 572,125.07 = 233,300.07 : x
  2. Step 2: Convert to fraction form
    414,588.24/572,125.07 = 233,300.07/x
  3. Step 3: Cross multiply
    414,588.24x = 572,125.07 × 233,300.07
  4. Step 4: Simplify right side
    414,588.24x = 133,476,818,879.76
  5. Step 5: Solve for x
    x = 133,476,818,879.76/414,588.24
  6. Step 6: Final answer
    x = 321,950.33

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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.