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Finding the Fourth Proportional to 511,302.41, 705,600.83 and 284,962.49

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Solution

The fourth proportional to 511,302.41, 705,600.83 and 284,962.49 is: 393,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,302.41 : 705,600.83 = 284,962.49 : x
  2. Step 2: Convert to fraction form
    511,302.41/705,600.83 = 284,962.49/x
  3. Step 3: Cross multiply
    511,302.41x = 705,600.83 × 284,962.49
  4. Step 4: Simplify right side
    511,302.41x = 201,069,768,038.05
  5. Step 5: Solve for x
    x = 201,069,768,038.05/511,302.41
  6. Step 6: Final answer
    x = 393,250.19

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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.