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Finding the Fourth Proportional to 414,315.34, 571,833.64 and 259,338.50

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Solution

The fourth proportional to 414,315.34, 571,833.64 and 259,338.50 is: 357,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315.34 : 571,833.64 = 259,338.50 : x
  2. Step 2: Convert to fraction form
    414,315.34/571,833.64 = 259,338.50/x
  3. Step 3: Cross multiply
    414,315.34x = 571,833.64 × 259,338.50
  4. Step 4: Simplify right side
    414,315.34x = 148,298,478,447.14
  5. Step 5: Solve for x
    x = 148,298,478,447.14/414,315.34
  6. Step 6: Final answer
    x = 357,936.25

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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.