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Finding the Fourth Proportional to 508,002.84, 701,116.56 and 293,216.76

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Solution

The fourth proportional to 508,002.84, 701,116.56 and 293,216.76 is: 404,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,002.84 : 701,116.56 = 293,216.76 : x
  2. Step 2: Convert to fraction form
    508,002.84/701,116.56 = 293,216.76/x
  3. Step 3: Cross multiply
    508,002.84x = 701,116.56 × 293,216.76
  4. Step 4: Simplify right side
    508,002.84x = 205,579,126,105.55
  5. Step 5: Solve for x
    x = 205,579,126,105.55/508,002.84
  6. Step 6: Final answer
    x = 404,681.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.