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Finding the Fourth Proportional to 311,588.02, 467,797.16 and 210,724.93

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Solution

The fourth proportional to 311,588.02, 467,797.16 and 210,724.93 is: 316,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,588.02 : 467,797.16 = 210,724.93 : x
  2. Step 2: Convert to fraction form
    311,588.02/467,797.16 = 210,724.93/x
  3. Step 3: Cross multiply
    311,588.02x = 467,797.16 × 210,724.93
  4. Step 4: Simplify right side
    311,588.02x = 98,576,523,795.20
  5. Step 5: Solve for x
    x = 98,576,523,795.20/311,588.02
  6. Step 6: Final answer
    x = 316,368.14

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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.