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Finding the Fourth Proportional to 405,023.20, 607,534.80 and 340,069.30

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Solution

The fourth proportional to 405,023.20, 607,534.80 and 340,069.30 is: 510,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,023.20 : 607,534.80 = 340,069.30 : x
  2. Step 2: Convert to fraction form
    405,023.20/607,534.80 = 340,069.30/x
  3. Step 3: Cross multiply
    405,023.20x = 607,534.80 × 340,069.30
  4. Step 4: Simplify right side
    405,023.20x = 206,603,934,161.64
  5. Step 5: Solve for x
    x = 206,603,934,161.64/405,023.20
  6. Step 6: Final answer
    x = 510,103.95

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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.