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Finding the Fourth Proportional to 569,727.18, 786,237.21 and 311,628.38

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Solution

The fourth proportional to 569,727.18, 786,237.21 and 311,628.38 is: 430,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,727.18 : 786,237.21 = 311,628.38 : x
  2. Step 2: Convert to fraction form
    569,727.18/786,237.21 = 311,628.38/x
  3. Step 3: Cross multiply
    569,727.18x = 786,237.21 × 311,628.38
  4. Step 4: Simplify right side
    569,727.18x = 245,013,824,116.83
  5. Step 5: Solve for x
    x = 245,013,824,116.83/569,727.18
  6. Step 6: Final answer
    x = 430,054.65

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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.