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Finding the Fourth Proportional to 617,559.12, 925,863.78 and 313,703.58

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Solution

The fourth proportional to 617,559.12, 925,863.78 and 313,703.58 is: 470,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,559.12 : 925,863.78 = 313,703.58 : x
  2. Step 2: Convert to fraction form
    617,559.12/925,863.78 = 313,703.58/x
  3. Step 3: Cross multiply
    617,559.12x = 925,863.78 × 313,703.58
  4. Step 4: Simplify right side
    617,559.12x = 290,446,787,026.71
  5. Step 5: Solve for x
    x = 290,446,787,026.71/617,559.12
  6. Step 6: Final answer
    x = 470,314.14

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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.