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Finding the Fourth Proportional to 473,896.56, 710,844.84 and 189,715.05

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Solution

The fourth proportional to 473,896.56, 710,844.84 and 189,715.05 is: 284,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,896.56 : 710,844.84 = 189,715.05 : x
  2. Step 2: Convert to fraction form
    473,896.56/710,844.84 = 189,715.05/x
  3. Step 3: Cross multiply
    473,896.56x = 710,844.84 × 189,715.05
  4. Step 4: Simplify right side
    473,896.56x = 134,857,964,362.84
  5. Step 5: Solve for x
    x = 134,857,964,362.84/473,896.56
  6. Step 6: Final answer
    x = 284,572.58

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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.