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Finding the Fourth Proportional to 314,012.54, 433,324.09 and 178,055.63

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Solution

The fourth proportional to 314,012.54, 433,324.09 and 178,055.63 is: 245,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,012.54 : 433,324.09 = 178,055.63 : x
  2. Step 2: Convert to fraction form
    314,012.54/433,324.09 = 178,055.63/x
  3. Step 3: Cross multiply
    314,012.54x = 433,324.09 × 178,055.63
  4. Step 4: Simplify right side
    314,012.54x = 77,155,794,379.79
  5. Step 5: Solve for x
    x = 77,155,794,379.79/314,012.54
  6. Step 6: Final answer
    x = 245,709.28

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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.