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Finding the Fourth Proportional to 473,107.80, 708,495.30 and 314,477.40

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Solution

The fourth proportional to 473,107.80, 708,495.30 and 314,477.40 is: 470,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,107.80 : 708,495.30 = 314,477.40 : x
  2. Step 2: Convert to fraction form
    473,107.80/708,495.30 = 314,477.40/x
  3. Step 3: Cross multiply
    473,107.80x = 708,495.30 × 314,477.40
  4. Step 4: Simplify right side
    473,107.80x = 222,805,759,856.22
  5. Step 5: Solve for x
    x = 222,805,759,856.22/473,107.80
  6. Step 6: Final answer
    x = 470,940.79

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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.