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Finding the Fourth Proportional to 259,257.60, 357,940.62 and 211,624.20

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Solution

The fourth proportional to 259,257.60, 357,940.62 and 211,624.20 is: 292,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,257.60 : 357,940.62 = 211,624.20 : x
  2. Step 2: Convert to fraction form
    259,257.60/357,940.62 = 211,624.20/x
  3. Step 3: Cross multiply
    259,257.60x = 357,940.62 × 211,624.20
  4. Step 4: Simplify right side
    259,257.60x = 75,748,897,355.00
  5. Step 5: Solve for x
    x = 75,748,897,355.00/259,257.60
  6. Step 6: Final answer
    x = 292,176.19

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1.5x scale

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.