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Finding the Fourth Proportional to 509,146.64, 702,544.32 and 294,245.24

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Solution

The fourth proportional to 509,146.64, 702,544.32 and 294,245.24 is: 406,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,146.64 : 702,544.32 = 294,245.24 : x
  2. Step 2: Convert to fraction form
    509,146.64/702,544.32 = 294,245.24/x
  3. Step 3: Cross multiply
    509,146.64x = 702,544.32 × 294,245.24
  4. Step 4: Simplify right side
    509,146.64x = 206,720,322,049.04
  5. Step 5: Solve for x
    x = 206,720,322,049.04/509,146.64
  6. Step 6: Final answer
    x = 406,013.33

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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.