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Finding the Fourth Proportional to 371,160.72, 512,068.10 and 210,014.06

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Solution

The fourth proportional to 371,160.72, 512,068.10 and 210,014.06 is: 289,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,160.72 : 512,068.10 = 210,014.06 : x
  2. Step 2: Convert to fraction form
    371,160.72/512,068.10 = 210,014.06/x
  3. Step 3: Cross multiply
    371,160.72x = 512,068.10 × 210,014.06
  4. Step 4: Simplify right side
    371,160.72x = 107,541,497,067.08
  5. Step 5: Solve for x
    x = 107,541,497,067.08/371,160.72
  6. Step 6: Final answer
    x = 289,743.75

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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.