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Finding the Fourth Proportional to 464,203.80, 696,230.96 and 127,165.64

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Solution

The fourth proportional to 464,203.80, 696,230.96 and 127,165.64 is: 190,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,203.80 : 696,230.96 = 127,165.64 : x
  2. Step 2: Convert to fraction form
    464,203.80/696,230.96 = 127,165.64/x
  3. Step 3: Cross multiply
    464,203.80x = 696,230.96 × 127,165.64
  4. Step 4: Simplify right side
    464,203.80x = 88,536,651,499.23
  5. Step 5: Solve for x
    x = 88,536,651,499.23/464,203.80
  6. Step 6: Final answer
    x = 190,727.98

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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.