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Finding the Fourth Proportional to 473,196.84, 653,010.96 and 303,430.56

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Solution

The fourth proportional to 473,196.84, 653,010.96 and 303,430.56 is: 418,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,196.84 : 653,010.96 = 303,430.56 : x
  2. Step 2: Convert to fraction form
    473,196.84/653,010.96 = 303,430.56/x
  3. Step 3: Cross multiply
    473,196.84x = 653,010.96 × 303,430.56
  4. Step 4: Simplify right side
    473,196.84x = 198,143,481,278.94
  5. Step 5: Solve for x
    x = 198,143,481,278.94/473,196.84
  6. Step 6: Final answer
    x = 418,733.74

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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.