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Finding the Fourth Proportional to 5,672,702.96, 8,509,085.64 and 1,412,871.44

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Solution

The fourth proportional to 5,672,702.96, 8,509,085.64 and 1,412,871.44 is: 2,119,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,702.96 : 8,509,085.64 = 1,412,871.44 : x
  2. Step 2: Convert to fraction form
    5,672,702.96/8,509,085.64 = 1,412,871.44/x
  3. Step 3: Cross multiply
    5,672,702.96x = 8,509,085.64 × 1,412,871.44
  4. Step 4: Simplify right side
    5,672,702.96x = 12,022,244,081,270.12
  5. Step 5: Solve for x
    x = 12,022,244,081,270.12/5,672,702.96
  6. Step 6: Final answer
    x = 2,119,314.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.