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Finding the Fourth Proportional to 340,594.02, 470,056.50 and 187,647.84

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Solution

The fourth proportional to 340,594.02, 470,056.50 and 187,647.84 is: 258,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,594.02 : 470,056.50 = 187,647.84 : x
  2. Step 2: Convert to fraction form
    340,594.02/470,056.50 = 187,647.84/x
  3. Step 3: Cross multiply
    340,594.02x = 470,056.50 × 187,647.84
  4. Step 4: Simplify right side
    340,594.02x = 88,205,086,902.96
  5. Step 5: Solve for x
    x = 88,205,086,902.96/340,594.02
  6. Step 6: Final answer
    x = 258,974.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.