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Finding the Fourth Proportional to 517,235.61, 713,773.93 and 299,453.46

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Solution

The fourth proportional to 517,235.61, 713,773.93 and 299,453.46 is: 413,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,235.61 : 713,773.93 = 299,453.46 : x
  2. Step 2: Convert to fraction form
    517,235.61/713,773.93 = 299,453.46/x
  3. Step 3: Cross multiply
    517,235.61x = 713,773.93 × 299,453.46
  4. Step 4: Simplify right side
    517,235.61x = 213,742,072,996.30
  5. Step 5: Solve for x
    x = 213,742,072,996.30/517,235.61
  6. Step 6: Final answer
    x = 413,239.28

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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.