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Finding the Fourth Proportional to 264,417.60, 396,577.80 and 164,398.80

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Solution

The fourth proportional to 264,417.60, 396,577.80 and 164,398.80 is: 246,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,417.60 : 396,577.80 = 164,398.80 : x
  2. Step 2: Convert to fraction form
    264,417.60/396,577.80 = 164,398.80/x
  3. Step 3: Cross multiply
    264,417.60x = 396,577.80 × 164,398.80
  4. Step 4: Simplify right side
    264,417.60x = 65,196,914,426.64
  5. Step 5: Solve for x
    x = 65,196,914,426.64/264,417.60
  6. Step 6: Final answer
    x = 246,567.98

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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.