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Finding the Fourth Proportional to 613,878.89, 847,283.51 and 412,558.25

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Solution

The fourth proportional to 613,878.89, 847,283.51 and 412,558.25 is: 569,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,878.89 : 847,283.51 = 412,558.25 : x
  2. Step 2: Convert to fraction form
    613,878.89/847,283.51 = 412,558.25/x
  3. Step 3: Cross multiply
    613,878.89x = 847,283.51 × 412,558.25
  4. Step 4: Simplify right side
    613,878.89x = 349,553,800,076.67
  5. Step 5: Solve for x
    x = 349,553,800,076.67/613,878.89
  6. Step 6: Final answer
    x = 569,418.18

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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.