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Finding the Fourth Proportional to 567,516.24, 783,178.47 and 312,876.54

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Solution

The fourth proportional to 567,516.24, 783,178.47 and 312,876.54 is: 431,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,516.24 : 783,178.47 = 312,876.54 : x
  2. Step 2: Convert to fraction form
    567,516.24/783,178.47 = 312,876.54/x
  3. Step 3: Cross multiply
    567,516.24x = 783,178.47 × 312,876.54
  4. Step 4: Simplify right side
    567,516.24x = 245,038,169,896.09
  5. Step 5: Solve for x
    x = 245,038,169,896.09/567,516.24
  6. Step 6: Final answer
    x = 431,772.97

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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.