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Finding the Fourth Proportional to 569,313.81, 785,653.29 and 314,665.02

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Solution

The fourth proportional to 569,313.81, 785,653.29 and 314,665.02 is: 434,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,313.81 : 785,653.29 = 314,665.02 : x
  2. Step 2: Convert to fraction form
    569,313.81/785,653.29 = 314,665.02/x
  3. Step 3: Cross multiply
    569,313.81x = 785,653.29 × 314,665.02
  4. Step 4: Simplify right side
    569,313.81x = 247,217,608,210.92
  5. Step 5: Solve for x
    x = 247,217,608,210.92/569,313.81
  6. Step 6: Final answer
    x = 434,237.86

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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.