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Finding the Fourth Proportional to 346,111.68, 477,629.28 and 195,257.28

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Solution

The fourth proportional to 346,111.68, 477,629.28 and 195,257.28 is: 269,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,111.68 : 477,629.28 = 195,257.28 : x
  2. Step 2: Convert to fraction form
    346,111.68/477,629.28 = 195,257.28/x
  3. Step 3: Cross multiply
    346,111.68x = 477,629.28 × 195,257.28
  4. Step 4: Simplify right side
    346,111.68x = 93,260,594,061.16
  5. Step 5: Solve for x
    x = 93,260,594,061.16/346,111.68
  6. Step 6: Final answer
    x = 269,452.32

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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.