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Finding the Fourth Proportional to 471,747, 707,620.50 and 139,348.92

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Solution

The fourth proportional to 471,747, 707,620.50 and 139,348.92 is: 209,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,747 : 707,620.50 = 139,348.92 : x
  2. Step 2: Convert to fraction form
    471,747/707,620.50 = 139,348.92/x
  3. Step 3: Cross multiply
    471,747x = 707,620.50 × 139,348.92
  4. Step 4: Simplify right side
    471,747x = 98,606,152,444.86
  5. Step 5: Solve for x
    x = 98,606,152,444.86/471,747
  6. Step 6: Final answer
    x = 209,023.38

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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.