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Finding the Fourth Proportional to 456,516.96, 629,780.92 and 295,424

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Solution

The fourth proportional to 456,516.96, 629,780.92 and 295,424 is: 407,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,516.96 : 629,780.92 = 295,424 : x
  2. Step 2: Convert to fraction form
    456,516.96/629,780.92 = 295,424/x
  3. Step 3: Cross multiply
    456,516.96x = 629,780.92 × 295,424
  4. Step 4: Simplify right side
    456,516.96x = 186,052,398,510.08
  5. Step 5: Solve for x
    x = 186,052,398,510.08/456,516.96
  6. Step 6: Final answer
    x = 407,547.62

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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.