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Finding the Fourth Proportional to 233,894.07, 322,774.23 and 126,464.07

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Solution

The fourth proportional to 233,894.07, 322,774.23 and 126,464.07 is: 174,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.07 : 322,774.23 = 126,464.07 : x
  2. Step 2: Convert to fraction form
    233,894.07/322,774.23 = 126,464.07/x
  3. Step 3: Cross multiply
    233,894.07x = 322,774.23 × 126,464.07
  4. Step 4: Simplify right side
    233,894.07x = 40,819,342,816.92
  5. Step 5: Solve for x
    x = 40,819,342,816.92/233,894.07
  6. Step 6: Final answer
    x = 174,520.64

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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.