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Finding the Fourth Proportional to 264,657.16, 397,044.06 and 146,500.84

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Solution

The fourth proportional to 264,657.16, 397,044.06 and 146,500.84 is: 219,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,657.16 : 397,044.06 = 146,500.84 : x
  2. Step 2: Convert to fraction form
    264,657.16/397,044.06 = 146,500.84/x
  3. Step 3: Cross multiply
    264,657.16x = 397,044.06 × 146,500.84
  4. Step 4: Simplify right side
    264,657.16x = 58,167,288,307.01
  5. Step 5: Solve for x
    x = 58,167,288,307.01/264,657.16
  6. Step 6: Final answer
    x = 219,783.54

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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.