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Finding the Fourth Proportional to 569,428.14, 785,771.25 and 314,759.28

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Solution

The fourth proportional to 569,428.14, 785,771.25 and 314,759.28 is: 434,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,428.14 : 785,771.25 = 314,759.28 : x
  2. Step 2: Convert to fraction form
    569,428.14/785,771.25 = 314,759.28/x
  3. Step 3: Cross multiply
    569,428.14x = 785,771.25 × 314,759.28
  4. Step 4: Simplify right side
    569,428.14x = 247,328,792,894.70
  5. Step 5: Solve for x
    x = 247,328,792,894.70/569,428.14
  6. Step 6: Final answer
    x = 434,345.93

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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.