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Finding the Fourth Proportional to 517,283.76, 713,838.42 and 299,462.22

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Solution

The fourth proportional to 517,283.76, 713,838.42 and 299,462.22 is: 413,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,283.76 : 713,838.42 = 299,462.22 : x
  2. Step 2: Convert to fraction form
    517,283.76/713,838.42 = 299,462.22/x
  3. Step 3: Cross multiply
    517,283.76x = 713,838.42 × 299,462.22
  4. Step 4: Simplify right side
    517,283.76x = 213,767,637,974.49
  5. Step 5: Solve for x
    x = 213,767,637,974.49/517,283.76
  6. Step 6: Final answer
    x = 413,250.24

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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.