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Finding the Fourth Proportional to 473,141.80, 708,546.30 and 314,511.40

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Solution

The fourth proportional to 473,141.80, 708,546.30 and 314,511.40 is: 470,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,141.80 : 708,546.30 = 314,511.40 : x
  2. Step 2: Convert to fraction form
    473,141.80/708,546.30 = 314,511.40/x
  3. Step 3: Cross multiply
    473,141.80x = 708,546.30 × 314,511.40
  4. Step 4: Simplify right side
    473,141.80x = 222,845,888,777.82
  5. Step 5: Solve for x
    x = 222,845,888,777.82/473,141.80
  6. Step 6: Final answer
    x = 470,991.76

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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.