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Finding the Fourth Proportional to 513,095.72, 708,324.57 and 322,214.36

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Solution

The fourth proportional to 513,095.72, 708,324.57 and 322,214.36 is: 444,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,095.72 : 708,324.57 = 322,214.36 : x
  2. Step 2: Convert to fraction form
    513,095.72/708,324.57 = 322,214.36/x
  3. Step 3: Cross multiply
    513,095.72x = 708,324.57 × 322,214.36
  4. Step 4: Simplify right side
    513,095.72x = 228,232,344,453.20
  5. Step 5: Solve for x
    x = 228,232,344,453.20/513,095.72
  6. Step 6: Final answer
    x = 444,814.36

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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.