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Finding the Fourth Proportional to 414,291.67, 571,801.02 and 259,314.84

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Solution

The fourth proportional to 414,291.67, 571,801.02 and 259,314.84 is: 357,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,291.67 : 571,801.02 = 259,314.84 : x
  2. Step 2: Convert to fraction form
    414,291.67/571,801.02 = 259,314.84/x
  3. Step 3: Cross multiply
    414,291.67x = 571,801.02 × 259,314.84
  4. Step 4: Simplify right side
    414,291.67x = 148,276,490,013.14
  5. Step 5: Solve for x
    x = 148,276,490,013.14/414,291.67
  6. Step 6: Final answer
    x = 357,903.63

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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.