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Finding the Fourth Proportional to 456,037.29, 629,178.03 and 295,095.96

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Solution

The fourth proportional to 456,037.29, 629,178.03 and 295,095.96 is: 407,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,037.29 : 629,178.03 = 295,095.96 : x
  2. Step 2: Convert to fraction form
    456,037.29/629,178.03 = 295,095.96/x
  3. Step 3: Cross multiply
    456,037.29x = 629,178.03 × 295,095.96
  4. Step 4: Simplify right side
    456,037.29x = 185,667,894,773.76
  5. Step 5: Solve for x
    x = 185,667,894,773.76/456,037.29
  6. Step 6: Final answer
    x = 407,133.14

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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.