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Finding the Fourth Proportional to 508,065.27, 701,129.25 and 293,205.30

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Solution

The fourth proportional to 508,065.27, 701,129.25 and 293,205.30 is: 404,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,065.27 : 701,129.25 = 293,205.30 : x
  2. Step 2: Convert to fraction form
    508,065.27/701,129.25 = 293,205.30/x
  3. Step 3: Cross multiply
    508,065.27x = 701,129.25 × 293,205.30
  4. Step 4: Simplify right side
    508,065.27x = 205,574,812,085.03
  5. Step 5: Solve for x
    x = 205,574,812,085.03/508,065.27
  6. Step 6: Final answer
    x = 404,622.84

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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.