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Finding the Fourth Proportional to 264,001.60, 396,002.40 and 208,014.40

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Solution

The fourth proportional to 264,001.60, 396,002.40 and 208,014.40 is: 312,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,001.60 : 396,002.40 = 208,014.40 : x
  2. Step 2: Convert to fraction form
    264,001.60/396,002.40 = 208,014.40/x
  3. Step 3: Cross multiply
    264,001.60x = 396,002.40 × 208,014.40
  4. Step 4: Simplify right side
    264,001.60x = 82,374,201,634.56
  5. Step 5: Solve for x
    x = 82,374,201,634.56/264,001.60
  6. Step 6: Final answer
    x = 312,021.60

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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.