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Finding the Fourth Proportional to 646,598.89, 969,898.35 and 197,322.10

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Solution

The fourth proportional to 646,598.89, 969,898.35 and 197,322.10 is: 295,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,598.89 : 969,898.35 = 197,322.10 : x
  2. Step 2: Convert to fraction form
    646,598.89/969,898.35 = 197,322.10/x
  3. Step 3: Cross multiply
    646,598.89x = 969,898.35 × 197,322.10
  4. Step 4: Simplify right side
    646,598.89x = 191,382,379,208.54
  5. Step 5: Solve for x
    x = 191,382,379,208.54/646,598.89
  6. Step 6: Final answer
    x = 295,983.15

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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.