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Finding the Fourth Proportional to 469,848, 648,928.44 and 309,420.12

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Solution

The fourth proportional to 469,848, 648,928.44 and 309,420.12 is: 427,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,848 : 648,928.44 = 309,420.12 : x
  2. Step 2: Convert to fraction form
    469,848/648,928.44 = 309,420.12/x
  3. Step 3: Cross multiply
    469,848x = 648,928.44 × 309,420.12
  4. Step 4: Simplify right side
    469,848x = 200,791,515,776.21
  5. Step 5: Solve for x
    x = 200,791,515,776.21/469,848
  6. Step 6: Final answer
    x = 427,354.20

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Why These Related Problems?

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