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Finding the Fourth Proportional to 447,719.12, 671,647.80 and 152,162

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Solution

The fourth proportional to 447,719.12, 671,647.80 and 152,162 is: 228,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,719.12 : 671,647.80 = 152,162 : x
  2. Step 2: Convert to fraction form
    447,719.12/671,647.80 = 152,162/x
  3. Step 3: Cross multiply
    447,719.12x = 671,647.80 × 152,162
  4. Step 4: Simplify right side
    447,719.12x = 102,199,272,543.60
  5. Step 5: Solve for x
    x = 102,199,272,543.60/447,719.12
  6. Step 6: Final answer
    x = 228,266.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.