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Finding the Fourth Proportional to 569,162.36, 785,444.33 and 314,513.54

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Solution

The fourth proportional to 569,162.36, 785,444.33 and 314,513.54 is: 434,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,162.36 : 785,444.33 = 314,513.54 : x
  2. Step 2: Convert to fraction form
    569,162.36/785,444.33 = 314,513.54/x
  3. Step 3: Cross multiply
    569,162.36x = 785,444.33 × 314,513.54
  4. Step 4: Simplify right side
    569,162.36x = 247,032,878,664.84
  5. Step 5: Solve for x
    x = 247,032,878,664.84/569,162.36
  6. Step 6: Final answer
    x = 434,028.84

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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.