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Finding the Fourth Proportional to 259,277.60, 357,968.22 and 211,644.20

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Solution

The fourth proportional to 259,277.60, 357,968.22 and 211,644.20 is: 292,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,277.60 : 357,968.22 = 211,644.20 : x
  2. Step 2: Convert to fraction form
    259,277.60/357,968.22 = 211,644.20/x
  3. Step 3: Cross multiply
    259,277.60x = 357,968.22 × 211,644.20
  4. Step 4: Simplify right side
    259,277.60x = 75,761,897,547.32
  5. Step 5: Solve for x
    x = 75,761,897,547.32/259,277.60
  6. Step 6: Final answer
    x = 292,203.79

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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.