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Finding the Fourth Proportional to 467,940.16, 701,959.45 and 152,421.67

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Solution

The fourth proportional to 467,940.16, 701,959.45 and 152,421.67 is: 228,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,940.16 : 701,959.45 = 152,421.67 : x
  2. Step 2: Convert to fraction form
    467,940.16/701,959.45 = 152,421.67/x
  3. Step 3: Cross multiply
    467,940.16x = 701,959.45 × 152,421.67
  4. Step 4: Simplify right side
    467,940.16x = 106,993,832,423.47
  5. Step 5: Solve for x
    x = 106,993,832,423.47/467,940.16
  6. Step 6: Final answer
    x = 228,648.54

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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.