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Finding the Fourth Proportional to 471,993.99, 707,728.55 and 156,278.67

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Solution

The fourth proportional to 471,993.99, 707,728.55 and 156,278.67 is: 234,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,993.99 : 707,728.55 = 156,278.67 : x
  2. Step 2: Convert to fraction form
    471,993.99/707,728.55 = 156,278.67/x
  3. Step 3: Cross multiply
    471,993.99x = 707,728.55 × 156,278.67
  4. Step 4: Simplify right side
    471,993.99x = 110,602,875,733.64
  5. Step 5: Solve for x
    x = 110,602,875,733.64/471,993.99
  6. Step 6: Final answer
    x = 234,331.11

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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.