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Finding the Fourth Proportional to 295,730.64, 407,956.68 and 200,203.92

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Solution

The fourth proportional to 295,730.64, 407,956.68 and 200,203.92 is: 276,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,730.64 : 407,956.68 = 200,203.92 : x
  2. Step 2: Convert to fraction form
    295,730.64/407,956.68 = 200,203.92/x
  3. Step 3: Cross multiply
    295,730.64x = 407,956.68 × 200,203.92
  4. Step 4: Simplify right side
    295,730.64x = 81,674,526,526.19
  5. Step 5: Solve for x
    x = 81,674,526,526.19/295,730.64
  6. Step 6: Final answer
    x = 276,178.78

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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.