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Finding the Fourth Proportional to 5,098,702.14, 7,648,264.26 and 1,504,469.07

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Solution

The fourth proportional to 5,098,702.14, 7,648,264.26 and 1,504,469.07 is: 2,256,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098,702.14 : 7,648,264.26 = 1,504,469.07 : x
  2. Step 2: Convert to fraction form
    5,098,702.14/7,648,264.26 = 1,504,469.07/x
  3. Step 3: Cross multiply
    5,098,702.14x = 7,648,264.26 × 1,504,469.07
  4. Step 4: Simplify right side
    5,098,702.14x = 11,506,577,018,356.44
  5. Step 5: Solve for x
    x = 11,506,577,018,356.44/5,098,702.14
  6. Step 6: Final answer
    x = 2,256,765.88

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