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Finding the Fourth Proportional to 210,094.40, 314,558.40 and 204,262.40

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Solution

The fourth proportional to 210,094.40, 314,558.40 and 204,262.40 is: 305,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,094.40 : 314,558.40 = 204,262.40 : x
  2. Step 2: Convert to fraction form
    210,094.40/314,558.40 = 204,262.40/x
  3. Step 3: Cross multiply
    210,094.40x = 314,558.40 × 204,262.40
  4. Step 4: Simplify right side
    210,094.40x = 64,252,453,724.16
  5. Step 5: Solve for x
    x = 64,252,453,724.16/210,094.40
  6. Step 6: Final answer
    x = 305,826.59

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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.