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Finding the Fourth Proportional to 233,411.20, 349,339.20 and 205,417.60

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Solution

The fourth proportional to 233,411.20, 349,339.20 and 205,417.60 is: 307,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,411.20 : 349,339.20 = 205,417.60 : x
  2. Step 2: Convert to fraction form
    233,411.20/349,339.20 = 205,417.60/x
  3. Step 3: Cross multiply
    233,411.20x = 349,339.20 × 205,417.60
  4. Step 4: Simplify right side
    233,411.20x = 71,760,420,049.92
  5. Step 5: Solve for x
    x = 71,760,420,049.92/233,411.20
  6. Step 6: Final answer
    x = 307,442.06

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1.5x scale

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.