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Finding the Fourth Proportional to 309,867.30, 464,800.95 and 309,867.30

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Solution

The fourth proportional to 309,867.30, 464,800.95 and 309,867.30 is: 464,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,867.30 : 464,800.95 = 309,867.30 : x
  2. Step 2: Convert to fraction form
    309,867.30/464,800.95 = 309,867.30/x
  3. Step 3: Cross multiply
    309,867.30x = 464,800.95 × 309,867.30
  4. Step 4: Simplify right side
    309,867.30x = 144,026,615,413.94
  5. Step 5: Solve for x
    x = 144,026,615,413.94/309,867.30
  6. Step 6: Final answer
    x = 464,800.95

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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.