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Finding the Fourth Proportional to 514,167.36, 709,368.48 and 335,008.32

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Solution

The fourth proportional to 514,167.36, 709,368.48 and 335,008.32 is: 462,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,167.36 : 709,368.48 = 335,008.32 : x
  2. Step 2: Convert to fraction form
    514,167.36/709,368.48 = 335,008.32/x
  3. Step 3: Cross multiply
    514,167.36x = 709,368.48 × 335,008.32
  4. Step 4: Simplify right side
    514,167.36x = 237,644,342,745.75
  5. Step 5: Solve for x
    x = 237,644,342,745.75/514,167.36
  6. Step 6: Final answer
    x = 462,192.59

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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.