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Finding the Fourth Proportional to 673,514.16, 929,447.64 and 371,706

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Solution

The fourth proportional to 673,514.16, 929,447.64 and 371,706 is: 512,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,514.16 : 929,447.64 = 371,706 : x
  2. Step 2: Convert to fraction form
    673,514.16/929,447.64 = 371,706/x
  3. Step 3: Cross multiply
    673,514.16x = 929,447.64 × 371,706
  4. Step 4: Simplify right side
    673,514.16x = 345,481,264,473.84
  5. Step 5: Solve for x
    x = 345,481,264,473.84/673,514.16
  6. Step 6: Final answer
    x = 512,953.23

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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.