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Finding the Fourth Proportional to 569,196.97, 785,424.93 and 314,532.97

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Solution

The fourth proportional to 569,196.97, 785,424.93 and 314,532.97 is: 434,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,196.97 : 785,424.93 = 314,532.97 : x
  2. Step 2: Convert to fraction form
    569,196.97/785,424.93 = 314,532.97/x
  3. Step 3: Cross multiply
    569,196.97x = 785,424.93 × 314,532.97
  4. Step 4: Simplify right side
    569,196.97x = 247,042,035,944.94
  5. Step 5: Solve for x
    x = 247,042,035,944.94/569,196.97
  6. Step 6: Final answer
    x = 434,018.54

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1.5x scale

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.