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Finding the Fourth Proportional to 309,849.40, 464,774.10 and 309,849.40

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Solution

The fourth proportional to 309,849.40, 464,774.10 and 309,849.40 is: 464,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,849.40 : 464,774.10 = 309,849.40 : x
  2. Step 2: Convert to fraction form
    309,849.40/464,774.10 = 309,849.40/x
  3. Step 3: Cross multiply
    309,849.40x = 464,774.10 × 309,849.40
  4. Step 4: Simplify right side
    309,849.40x = 144,009,976,020.54
  5. Step 5: Solve for x
    x = 144,009,976,020.54/309,849.40
  6. Step 6: Final answer
    x = 464,774.10

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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.