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Finding the Fourth Proportional to 474,394.77, 654,709.84 and 259,567.11

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Solution

The fourth proportional to 474,394.77, 654,709.84 and 259,567.11 is: 358,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,394.77 : 654,709.84 = 259,567.11 : x
  2. Step 2: Convert to fraction form
    474,394.77/654,709.84 = 259,567.11/x
  3. Step 3: Cross multiply
    474,394.77x = 654,709.84 × 259,567.11
  4. Step 4: Simplify right side
    474,394.77x = 169,941,140,408.45
  5. Step 5: Solve for x
    x = 169,941,140,408.45/474,394.77
  6. Step 6: Final answer
    x = 358,227.26

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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.