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Finding the Fourth Proportional to 409,751.04, 614,709.16 and 173,093.34

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Solution

The fourth proportional to 409,751.04, 614,709.16 and 173,093.34 is: 259,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,751.04 : 614,709.16 = 173,093.34 : x
  2. Step 2: Convert to fraction form
    409,751.04/614,709.16 = 173,093.34/x
  3. Step 3: Cross multiply
    409,751.04x = 614,709.16 × 173,093.34
  4. Step 4: Simplify right side
    409,751.04x = 106,402,061,632.99
  5. Step 5: Solve for x
    x = 106,402,061,632.99/409,751.04
  6. Step 6: Final answer
    x = 259,674.90

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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.