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Finding the Fourth Proportional to 638,512, 957,772.80 and 283,430.56

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Solution

The fourth proportional to 638,512, 957,772.80 and 283,430.56 is: 425,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,512 : 957,772.80 = 283,430.56 : x
  2. Step 2: Convert to fraction form
    638,512/957,772.80 = 283,430.56/x
  3. Step 3: Cross multiply
    638,512x = 957,772.80 × 283,430.56
  4. Step 4: Simplify right side
    638,512x = 271,462,081,056.77
  5. Step 5: Solve for x
    x = 271,462,081,056.77/638,512
  6. Step 6: Final answer
    x = 425,147.97

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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.