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Finding the Fourth Proportional to 417,134.20, 625,701.30 and 259,281.40

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Solution

The fourth proportional to 417,134.20, 625,701.30 and 259,281.40 is: 388,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,134.20 : 625,701.30 = 259,281.40 : x
  2. Step 2: Convert to fraction form
    417,134.20/625,701.30 = 259,281.40/x
  3. Step 3: Cross multiply
    417,134.20x = 625,701.30 × 259,281.40
  4. Step 4: Simplify right side
    417,134.20x = 162,232,709,045.82
  5. Step 5: Solve for x
    x = 162,232,709,045.82/417,134.20
  6. Step 6: Final answer
    x = 388,922.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.