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Finding the Fourth Proportional to 409,066.40, 564,500.06 and 222,793.64

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Solution

The fourth proportional to 409,066.40, 564,500.06 and 222,793.64 is: 307,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,066.40 : 564,500.06 = 222,793.64 : x
  2. Step 2: Convert to fraction form
    409,066.40/564,500.06 = 222,793.64/x
  3. Step 3: Cross multiply
    409,066.40x = 564,500.06 × 222,793.64
  4. Step 4: Simplify right side
    409,066.40x = 125,767,020,325.12
  5. Step 5: Solve for x
    x = 125,767,020,325.12/409,066.40
  6. Step 6: Final answer
    x = 307,448.91

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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.