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Finding the Fourth Proportional to 473,407.50, 710,234.37 and 140,983.50

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Solution

The fourth proportional to 473,407.50, 710,234.37 and 140,983.50 is: 211,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,407.50 : 710,234.37 = 140,983.50 : x
  2. Step 2: Convert to fraction form
    473,407.50/710,234.37 = 140,983.50/x
  3. Step 3: Cross multiply
    473,407.50x = 710,234.37 × 140,983.50
  4. Step 4: Simplify right side
    473,407.50x = 100,131,327,302.90
  5. Step 5: Solve for x
    x = 100,131,327,302.90/473,407.50
  6. Step 6: Final answer
    x = 211,511.92

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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.