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Finding the Fourth Proportional to 514,388.51, 709,867.53 and 293,621.29

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Solution

The fourth proportional to 514,388.51, 709,867.53 and 293,621.29 is: 405,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,388.51 : 709,867.53 = 293,621.29 : x
  2. Step 2: Convert to fraction form
    514,388.51/709,867.53 = 293,621.29/x
  3. Step 3: Cross multiply
    514,388.51x = 709,867.53 × 293,621.29
  4. Step 4: Simplify right side
    514,388.51x = 208,432,218,113.05
  5. Step 5: Solve for x
    x = 208,432,218,113.05/514,388.51
  6. Step 6: Final answer
    x = 405,203.88

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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.