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Finding the Fourth Proportional to 473,222.84, 709,840.41 and 136,269.02

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Solution

The fourth proportional to 473,222.84, 709,840.41 and 136,269.02 is: 204,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,222.84 : 709,840.41 = 136,269.02 : x
  2. Step 2: Convert to fraction form
    473,222.84/709,840.41 = 136,269.02/x
  3. Step 3: Cross multiply
    473,222.84x = 709,840.41 × 136,269.02
  4. Step 4: Simplify right side
    473,222.84x = 96,729,257,027.10
  5. Step 5: Solve for x
    x = 96,729,257,027.10/473,222.84
  6. Step 6: Final answer
    x = 204,405.30

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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.