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Finding the Fourth Proportional to 313,704, 470,347.95 and 114,000.66

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Solution

The fourth proportional to 313,704, 470,347.95 and 114,000.66 is: 170,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,704 : 470,347.95 = 114,000.66 : x
  2. Step 2: Convert to fraction form
    313,704/470,347.95 = 114,000.66/x
  3. Step 3: Cross multiply
    313,704x = 470,347.95 × 114,000.66
  4. Step 4: Simplify right side
    313,704x = 53,619,976,729.65
  5. Step 5: Solve for x
    x = 53,619,976,729.65/313,704
  6. Step 6: Final answer
    x = 170,925.38

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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.