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Finding the Fourth Proportional to 464,502.24, 641,012.64 and 263,298.24

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Solution

The fourth proportional to 464,502.24, 641,012.64 and 263,298.24 is: 363,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,502.24 : 641,012.64 = 263,298.24 : x
  2. Step 2: Convert to fraction form
    464,502.24/641,012.64 = 263,298.24/x
  3. Step 3: Cross multiply
    464,502.24x = 641,012.64 × 263,298.24
  4. Step 4: Simplify right side
    464,502.24x = 168,777,499,929.75
  5. Step 5: Solve for x
    x = 168,777,499,929.75/464,502.24
  6. Step 6: Final answer
    x = 363,351.32

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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.