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Finding the Fourth Proportional to 375,256.72, 517,806.84 and 298,969.30

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Solution

The fourth proportional to 375,256.72, 517,806.84 and 298,969.30 is: 412,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,256.72 : 517,806.84 = 298,969.30 : x
  2. Step 2: Convert to fraction form
    375,256.72/517,806.84 = 298,969.30/x
  3. Step 3: Cross multiply
    375,256.72x = 517,806.84 × 298,969.30
  4. Step 4: Simplify right side
    375,256.72x = 154,808,348,490.01
  5. Step 5: Solve for x
    x = 154,808,348,490.01/375,256.72
  6. Step 6: Final answer
    x = 412,539.84

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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.