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Finding the Fourth Proportional to 314,311.69, 470,717.12 and 180,911.53

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Solution

The fourth proportional to 314,311.69, 470,717.12 and 180,911.53 is: 270,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,311.69 : 470,717.12 = 180,911.53 : x
  2. Step 2: Convert to fraction form
    314,311.69/470,717.12 = 180,911.53/x
  3. Step 3: Cross multiply
    314,311.69x = 470,717.12 × 180,911.53
  4. Step 4: Simplify right side
    314,311.69x = 85,158,152,769.29
  5. Step 5: Solve for x
    x = 85,158,152,769.29/314,311.69
  6. Step 6: Final answer
    x = 270,935.36

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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.