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Finding the Fourth Proportional to 314,434.87, 433,898.22 and 178,471.58

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Solution

The fourth proportional to 314,434.87, 433,898.22 and 178,471.58 is: 246,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,434.87 : 433,898.22 = 178,471.58 : x
  2. Step 2: Convert to fraction form
    314,434.87/433,898.22 = 178,471.58/x
  3. Step 3: Cross multiply
    314,434.87x = 433,898.22 × 178,471.58
  4. Step 4: Simplify right side
    314,434.87x = 77,438,501,967.33
  5. Step 5: Solve for x
    x = 77,438,501,967.33/314,434.87
  6. Step 6: Final answer
    x = 246,278.36

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1.5x scale

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.