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Finding the Fourth Proportional to 451,775, 677,724.96 and 152,341.32

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Solution

The fourth proportional to 451,775, 677,724.96 and 152,341.32 is: 228,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,775 : 677,724.96 = 152,341.32 : x
  2. Step 2: Convert to fraction form
    451,775/677,724.96 = 152,341.32/x
  3. Step 3: Cross multiply
    451,775x = 677,724.96 × 152,341.32
  4. Step 4: Simplify right side
    451,775x = 103,245,515,003.35
  5. Step 5: Solve for x
    x = 103,245,515,003.35/451,775
  6. Step 6: Final answer
    x = 228,533.04

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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.