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Finding the Fourth Proportional to 511,005.34, 705,271.35 and 284,723.74

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Solution

The fourth proportional to 511,005.34, 705,271.35 and 284,723.74 is: 392,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,005.34 : 705,271.35 = 284,723.74 : x
  2. Step 2: Convert to fraction form
    511,005.34/705,271.35 = 284,723.74/x
  3. Step 3: Cross multiply
    511,005.34x = 705,271.35 × 284,723.74
  4. Step 4: Simplify right side
    511,005.34x = 200,807,496,486.85
  5. Step 5: Solve for x
    x = 200,807,496,486.85/511,005.34
  6. Step 6: Final answer
    x = 392,965.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.