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Finding the Fourth Proportional to 309,846.90, 464,770.35 and 309,846.90

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Solution

The fourth proportional to 309,846.90, 464,770.35 and 309,846.90 is: 464,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,846.90 : 464,770.35 = 309,846.90 : x
  2. Step 2: Convert to fraction form
    309,846.90/464,770.35 = 309,846.90/x
  3. Step 3: Cross multiply
    309,846.90x = 464,770.35 × 309,846.90
  4. Step 4: Simplify right side
    309,846.90x = 144,007,652,159.42
  5. Step 5: Solve for x
    x = 144,007,652,159.42/309,846.90
  6. Step 6: Final answer
    x = 464,770.35

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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.