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Finding the Fourth Proportional to 295,568.17, 407,884.52 and 168,243.77

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Solution

The fourth proportional to 295,568.17, 407,884.52 and 168,243.77 is: 232,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,568.17 : 407,884.52 = 168,243.77 : x
  2. Step 2: Convert to fraction form
    295,568.17/407,884.52 = 168,243.77/x
  3. Step 3: Cross multiply
    295,568.17x = 407,884.52 × 168,243.77
  4. Step 4: Simplify right side
    295,568.17x = 68,624,030,809.76
  5. Step 5: Solve for x
    x = 68,624,030,809.76/295,568.17
  6. Step 6: Final answer
    x = 232,176.66

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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.