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Finding the Fourth Proportional to 514,284.24, 709,696.56 and 284,832.42

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Solution

The fourth proportional to 514,284.24, 709,696.56 and 284,832.42 is: 393,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,284.24 : 709,696.56 = 284,832.42 : x
  2. Step 2: Convert to fraction form
    514,284.24/709,696.56 = 284,832.42/x
  3. Step 3: Cross multiply
    514,284.24x = 709,696.56 × 284,832.42
  4. Step 4: Simplify right side
    514,284.24x = 202,144,588,650.48
  5. Step 5: Solve for x
    x = 202,144,588,650.48/514,284.24
  6. Step 6: Final answer
    x = 393,060.05

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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.