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Finding the Fourth Proportional to 514,156.36, 709,353.30 and 334,997.32

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Solution

The fourth proportional to 514,156.36, 709,353.30 and 334,997.32 is: 462,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,156.36 : 709,353.30 = 334,997.32 : x
  2. Step 2: Convert to fraction form
    514,156.36/709,353.30 = 334,997.32/x
  3. Step 3: Cross multiply
    514,156.36x = 709,353.30 × 334,997.32
  4. Step 4: Simplify right side
    514,156.36x = 237,631,454,433.16
  5. Step 5: Solve for x
    x = 237,631,454,433.16/514,156.36
  6. Step 6: Final answer
    x = 462,177.41

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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.