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Finding the Fourth Proportional to 293,065.40, 438,431.70 and 254,055.80

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Solution

The fourth proportional to 293,065.40, 438,431.70 and 254,055.80 is: 380,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,065.40 : 438,431.70 = 254,055.80 : x
  2. Step 2: Convert to fraction form
    293,065.40/438,431.70 = 254,055.80/x
  3. Step 3: Cross multiply
    293,065.40x = 438,431.70 × 254,055.80
  4. Step 4: Simplify right side
    293,065.40x = 111,386,116,288.86
  5. Step 5: Solve for x
    x = 111,386,116,288.86/293,065.40
  6. Step 6: Final answer
    x = 380,072.56

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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.