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Finding the Fourth Proportional to 508,073.64, 701,199.36 and 293,271.36

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Solution

The fourth proportional to 508,073.64, 701,199.36 and 293,271.36 is: 404,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,073.64 : 701,199.36 = 293,271.36 : x
  2. Step 2: Convert to fraction form
    508,073.64/701,199.36 = 293,271.36/x
  3. Step 3: Cross multiply
    508,073.64x = 701,199.36 × 293,271.36
  4. Step 4: Simplify right side
    508,073.64x = 205,641,689,938.33
  5. Step 5: Solve for x
    x = 205,641,689,938.33/508,073.64
  6. Step 6: Final answer
    x = 404,747.80

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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.