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Finding the Fourth Proportional to 4,602,998.98, 6,904,247.96 and 1,408,125.16

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Solution

The fourth proportional to 4,602,998.98, 6,904,247.96 and 1,408,125.16 is: 2,112,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,998.98 : 6,904,247.96 = 1,408,125.16 : x
  2. Step 2: Convert to fraction form
    4,602,998.98/6,904,247.96 = 1,408,125.16/x
  3. Step 3: Cross multiply
    4,602,998.98x = 6,904,247.96 × 1,408,125.16
  4. Step 4: Simplify right side
    4,602,998.98x = 9,722,045,263,354.67
  5. Step 5: Solve for x
    x = 9,722,045,263,354.67/4,602,998.98
  6. Step 6: Final answer
    x = 2,112,111.11

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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.