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Finding the Fourth Proportional to 875,643.12, 1,313,843.99 and 470,362.43

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Solution

The fourth proportional to 875,643.12, 1,313,843.99 and 470,362.43 is: 705,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,643.12 : 1,313,843.99 = 470,362.43 : x
  2. Step 2: Convert to fraction form
    875,643.12/1,313,843.99 = 470,362.43/x
  3. Step 3: Cross multiply
    875,643.12x = 1,313,843.99 × 470,362.43
  4. Step 4: Simplify right side
    875,643.12x = 617,982,856,941.11
  5. Step 5: Solve for x
    x = 617,982,856,941.11/875,643.12
  6. Step 6: Final answer
    x = 705,747.40

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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.