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Finding the Fourth Proportional to 473,221.86, 653,047.65 and 303,456.66

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Solution

The fourth proportional to 473,221.86, 653,047.65 and 303,456.66 is: 418,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,221.86 : 653,047.65 = 303,456.66 : x
  2. Step 2: Convert to fraction form
    473,221.86/653,047.65 = 303,456.66/x
  3. Step 3: Cross multiply
    473,221.86x = 653,047.65 × 303,456.66
  4. Step 4: Simplify right side
    473,221.86x = 198,171,658,689.85
  5. Step 5: Solve for x
    x = 198,171,658,689.85/473,221.86
  6. Step 6: Final answer
    x = 418,771.14

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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.