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Finding the Fourth Proportional to 447,483.84, 671,471.82 and 210,820.38

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Solution

The fourth proportional to 447,483.84, 671,471.82 and 210,820.38 is: 316,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,483.84 : 671,471.82 = 210,820.38 : x
  2. Step 2: Convert to fraction form
    447,483.84/671,471.82 = 210,820.38/x
  3. Step 3: Cross multiply
    447,483.84x = 671,471.82 × 210,820.38
  4. Step 4: Simplify right side
    447,483.84x = 141,559,944,251.69
  5. Step 5: Solve for x
    x = 141,559,944,251.69/447,483.84
  6. Step 6: Final answer
    x = 316,346.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.