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Finding the Fourth Proportional to 447,581, 671,371.50 and 152,093

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Solution

The fourth proportional to 447,581, 671,371.50 and 152,093 is: 228,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,581 : 671,371.50 = 152,093 : x
  2. Step 2: Convert to fraction form
    447,581/671,371.50 = 152,093/x
  3. Step 3: Cross multiply
    447,581x = 671,371.50 × 152,093
  4. Step 4: Simplify right side
    447,581x = 102,110,905,549.50
  5. Step 5: Solve for x
    x = 102,110,905,549.50/447,581
  6. Step 6: Final answer
    x = 228,139.50

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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.