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Finding the Fourth Proportional to 613,535.30, 920,349.12 and 164,246.22

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Solution

The fourth proportional to 613,535.30, 920,349.12 and 164,246.22 is: 246,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,535.30 : 920,349.12 = 164,246.22 : x
  2. Step 2: Convert to fraction form
    613,535.30/920,349.12 = 164,246.22/x
  3. Step 3: Cross multiply
    613,535.30x = 920,349.12 × 164,246.22
  4. Step 4: Simplify right side
    613,535.30x = 151,163,864,040.33
  5. Step 5: Solve for x
    x = 151,163,864,040.33/613,535.30
  6. Step 6: Final answer
    x = 246,381.69

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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.