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Finding the Fourth Proportional to 4,678,319.24, 7,017,734.01 and 1,483,214.30

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Solution

The fourth proportional to 4,678,319.24, 7,017,734.01 and 1,483,214.30 is: 2,224,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,319.24 : 7,017,734.01 = 1,483,214.30 : x
  2. Step 2: Convert to fraction form
    4,678,319.24/7,017,734.01 = 1,483,214.30/x
  3. Step 3: Cross multiply
    4,678,319.24x = 7,017,734.01 × 1,483,214.30
  4. Step 4: Simplify right side
    4,678,319.24x = 10,408,803,437,228.34
  5. Step 5: Solve for x
    x = 10,408,803,437,228.34/4,678,319.24
  6. Step 6: Final answer
    x = 2,224,902.34

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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.