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Finding the Fourth Proportional to 473,229, 653,113.26 and 269,329.46

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Solution

The fourth proportional to 473,229, 653,113.26 and 269,329.46 is: 371,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,229 : 653,113.26 = 269,329.46 : x
  2. Step 2: Convert to fraction form
    473,229/653,113.26 = 269,329.46/x
  3. Step 3: Cross multiply
    473,229x = 653,113.26 × 269,329.46
  4. Step 4: Simplify right side
    473,229x = 175,902,638,369.07
  5. Step 5: Solve for x
    x = 175,902,638,369.07/473,229
  6. Step 6: Final answer
    x = 371,707.22

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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.