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Finding the Fourth Proportional to 507,867, 700,856.46 and 281,547

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Solution

The fourth proportional to 507,867, 700,856.46 and 281,547 is: 388,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,867 : 700,856.46 = 281,547 : x
  2. Step 2: Convert to fraction form
    507,867/700,856.46 = 281,547/x
  3. Step 3: Cross multiply
    507,867x = 700,856.46 × 281,547
  4. Step 4: Simplify right side
    507,867x = 197,324,033,743.62
  5. Step 5: Solve for x
    x = 197,324,033,743.62/507,867
  6. Step 6: Final answer
    x = 388,534.86

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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.