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Finding the Fourth Proportional to 514,905.20, 772,357.80 and 293,721.20

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Solution

The fourth proportional to 514,905.20, 772,357.80 and 293,721.20 is: 440,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,905.20 : 772,357.80 = 293,721.20 : x
  2. Step 2: Convert to fraction form
    514,905.20/772,357.80 = 293,721.20/x
  3. Step 3: Cross multiply
    514,905.20x = 772,357.80 × 293,721.20
  4. Step 4: Simplify right side
    514,905.20x = 226,857,859,845.36
  5. Step 5: Solve for x
    x = 226,857,859,845.36/514,905.20
  6. Step 6: Final answer
    x = 440,581.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.