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Finding the Fourth Proportional to 414,299.76, 571,728.60 and 235,440.24

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Solution

The fourth proportional to 414,299.76, 571,728.60 and 235,440.24 is: 324,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,299.76 : 571,728.60 = 235,440.24 : x
  2. Step 2: Convert to fraction form
    414,299.76/571,728.60 = 235,440.24/x
  3. Step 3: Cross multiply
    414,299.76x = 571,728.60 × 235,440.24
  4. Step 4: Simplify right side
    414,299.76x = 134,607,918,798.86
  5. Step 5: Solve for x
    x = 134,607,918,798.86/414,299.76
  6. Step 6: Final answer
    x = 324,904.65

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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.