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Finding the Fourth Proportional to 953,568.92, 1,430,196.14 and 313,881

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Solution

The fourth proportional to 953,568.92, 1,430,196.14 and 313,881 is: 470,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,568.92 : 1,430,196.14 = 313,881 : x
  2. Step 2: Convert to fraction form
    953,568.92/1,430,196.14 = 313,881/x
  3. Step 3: Cross multiply
    953,568.92x = 1,430,196.14 × 313,881
  4. Step 4: Simplify right side
    953,568.92x = 448,911,393,049.94
  5. Step 5: Solve for x
    x = 448,911,393,049.94/953,568.92
  6. Step 6: Final answer
    x = 470,769.74

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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.