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Finding the Fourth Proportional to 412,538.91, 569,293.47 and 228,776.43

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Solution

The fourth proportional to 412,538.91, 569,293.47 and 228,776.43 is: 315,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,538.91 : 569,293.47 = 228,776.43 : x
  2. Step 2: Convert to fraction form
    412,538.91/569,293.47 = 228,776.43/x
  3. Step 3: Cross multiply
    412,538.91x = 569,293.47 × 228,776.43
  4. Step 4: Simplify right side
    412,538.91x = 130,240,927,688.91
  5. Step 5: Solve for x
    x = 130,240,927,688.91/412,538.91
  6. Step 6: Final answer
    x = 315,705.80

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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.