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Finding the Fourth Proportional to 313,852.19, 470,774.03 and 77,196.92

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Solution

The fourth proportional to 313,852.19, 470,774.03 and 77,196.92 is: 115,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,852.19 : 470,774.03 = 77,196.92 : x
  2. Step 2: Convert to fraction form
    313,852.19/470,774.03 = 77,196.92/x
  3. Step 3: Cross multiply
    313,852.19x = 470,774.03 × 77,196.92
  4. Step 4: Simplify right side
    313,852.19x = 36,342,302,392.13
  5. Step 5: Solve for x
    x = 36,342,302,392.13/313,852.19
  6. Step 6: Final answer
    x = 115,794.33

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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.