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Finding the Fourth Proportional to 473,222.86, 653,049.03 and 303,457.66

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Solution

The fourth proportional to 473,222.86, 653,049.03 and 303,457.66 is: 418,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,222.86 : 653,049.03 = 303,457.66 : x
  2. Step 2: Convert to fraction form
    473,222.86/653,049.03 = 303,457.66/x
  3. Step 3: Cross multiply
    473,222.86x = 653,049.03 × 303,457.66
  4. Step 4: Simplify right side
    473,222.86x = 198,172,730,509.07
  5. Step 5: Solve for x
    x = 198,172,730,509.07/473,222.86
  6. Step 6: Final answer
    x = 418,772.52

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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.