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Finding the Fourth Proportional to 309,792.54, 464,716.53 and 120,248.46

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Solution

The fourth proportional to 309,792.54, 464,716.53 and 120,248.46 is: 180,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.54 : 464,716.53 = 120,248.46 : x
  2. Step 2: Convert to fraction form
    309,792.54/464,716.53 = 120,248.46/x
  3. Step 3: Cross multiply
    309,792.54x = 464,716.53 × 120,248.46
  4. Step 4: Simplify right side
    309,792.54x = 55,881,447,069.04
  5. Step 5: Solve for x
    x = 55,881,447,069.04/309,792.54
  6. Step 6: Final answer
    x = 180,383.45

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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.