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Finding the Fourth Proportional to 293,047.40, 438,404.70 and 254,037.80

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Solution

The fourth proportional to 293,047.40, 438,404.70 and 254,037.80 is: 380,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,047.40 : 438,404.70 = 254,037.80 : x
  2. Step 2: Convert to fraction form
    293,047.40/438,404.70 = 254,037.80/x
  3. Step 3: Cross multiply
    293,047.40x = 438,404.70 × 254,037.80
  4. Step 4: Simplify right side
    293,047.40x = 111,371,365,497.66
  5. Step 5: Solve for x
    x = 111,371,365,497.66/293,047.40
  6. Step 6: Final answer
    x = 380,045.57

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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.