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Finding the Fourth Proportional to 313,716.57, 470,525.43 and 260,748.66

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Solution

The fourth proportional to 313,716.57, 470,525.43 and 260,748.66 is: 391,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,716.57 : 470,525.43 = 260,748.66 : x
  2. Step 2: Convert to fraction form
    313,716.57/470,525.43 = 260,748.66/x
  3. Step 3: Cross multiply
    313,716.57x = 470,525.43 × 260,748.66
  4. Step 4: Simplify right side
    313,716.57x = 122,688,875,368.42
  5. Step 5: Solve for x
    x = 122,688,875,368.42/313,716.57
  6. Step 6: Final answer
    x = 391,081.91

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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.