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Finding the Fourth Proportional to 470,885.95, 706,313.31 and 204,646.78

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Solution

The fourth proportional to 470,885.95, 706,313.31 and 204,646.78 is: 306,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,885.95 : 706,313.31 = 204,646.78 : x
  2. Step 2: Convert to fraction form
    470,885.95/706,313.31 = 204,646.78/x
  3. Step 3: Cross multiply
    470,885.95x = 706,313.31 × 204,646.78
  4. Step 4: Simplify right side
    470,885.95x = 144,544,744,562.64
  5. Step 5: Solve for x
    x = 144,544,744,562.64/470,885.95
  6. Step 6: Final answer
    x = 306,963.38

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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.