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Finding the Fourth Proportional to 474,429.10, 654,713.75 and 259,568.50

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Solution

The fourth proportional to 474,429.10, 654,713.75 and 259,568.50 is: 358,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,429.10 : 654,713.75 = 259,568.50 : x
  2. Step 2: Convert to fraction form
    474,429.10/654,713.75 = 259,568.50/x
  3. Step 3: Cross multiply
    474,429.10x = 654,713.75 × 259,568.50
  4. Step 4: Simplify right side
    474,429.10x = 169,943,066,016.88
  5. Step 5: Solve for x
    x = 169,943,066,016.88/474,429.10
  6. Step 6: Final answer
    x = 358,205.40

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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.