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Finding the Fourth Proportional to 699,066.90, 964,201.05 and 456,961.14

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Solution

The fourth proportional to 699,066.90, 964,201.05 and 456,961.14 is: 630,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,066.90 : 964,201.05 = 456,961.14 : x
  2. Step 2: Convert to fraction form
    699,066.90/964,201.05 = 456,961.14/x
  3. Step 3: Cross multiply
    699,066.90x = 964,201.05 × 456,961.14
  4. Step 4: Simplify right side
    699,066.90x = 440,602,410,997.20
  5. Step 5: Solve for x
    x = 440,602,410,997.20/699,066.90
  6. Step 6: Final answer
    x = 630,272.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.