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Finding the Fourth Proportional to 569,181.34, 785,439.34 and 314,516.13

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Solution

The fourth proportional to 569,181.34, 785,439.34 and 314,516.13 is: 434,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,181.34 : 785,439.34 = 314,516.13 : x
  2. Step 2: Convert to fraction form
    569,181.34/785,439.34 = 314,516.13/x
  3. Step 3: Cross multiply
    569,181.34x = 785,439.34 × 314,516.13
  4. Step 4: Simplify right side
    569,181.34x = 247,033,341,566.55
  5. Step 5: Solve for x
    x = 247,033,341,566.55/569,181.34
  6. Step 6: Final answer
    x = 434,015.18

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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.