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Finding the Fourth Proportional to 613,608.90, 920,465.19 and 193,005.06

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Solution

The fourth proportional to 613,608.90, 920,465.19 and 193,005.06 is: 289,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,608.90 : 920,465.19 = 193,005.06 : x
  2. Step 2: Convert to fraction form
    613,608.90/920,465.19 = 193,005.06/x
  3. Step 3: Cross multiply
    613,608.90x = 920,465.19 × 193,005.06
  4. Step 4: Simplify right side
    613,608.90x = 177,654,439,223.86
  5. Step 5: Solve for x
    x = 177,654,439,223.86/613,608.90
  6. Step 6: Final answer
    x = 289,523.90

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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.