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Finding the Fourth Proportional to 438,025.56, 657,109.32 and 171,641.64

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Solution

The fourth proportional to 438,025.56, 657,109.32 and 171,641.64 is: 257,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,025.56 : 657,109.32 = 171,641.64 : x
  2. Step 2: Convert to fraction form
    438,025.56/657,109.32 = 171,641.64/x
  3. Step 3: Cross multiply
    438,025.56x = 657,109.32 × 171,641.64
  4. Step 4: Simplify right side
    438,025.56x = 112,787,321,344.09
  5. Step 5: Solve for x
    x = 112,787,321,344.09/438,025.56
  6. Step 6: Final answer
    x = 257,490.27

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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.