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Finding the Fourth Proportional to 511,338.03, 705,670.51 and 284,985.15

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Solution

The fourth proportional to 511,338.03, 705,670.51 and 284,985.15 is: 393,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,338.03 : 705,670.51 = 284,985.15 : x
  2. Step 2: Convert to fraction form
    511,338.03/705,670.51 = 284,985.15/x
  3. Step 3: Cross multiply
    511,338.03x = 705,670.51 × 284,985.15
  4. Step 4: Simplify right side
    511,338.03x = 201,105,618,619.57
  5. Step 5: Solve for x
    x = 201,105,618,619.57/511,338.03
  6. Step 6: Final answer
    x = 393,292.90

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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.