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Finding the Fourth Proportional to 524,657.80, 786,986.70 and 509,105.80

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Solution

The fourth proportional to 524,657.80, 786,986.70 and 509,105.80 is: 763,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,657.80 : 786,986.70 = 509,105.80 : x
  2. Step 2: Convert to fraction form
    524,657.80/786,986.70 = 509,105.80/x
  3. Step 3: Cross multiply
    524,657.80x = 786,986.70 × 509,105.80
  4. Step 4: Simplify right side
    524,657.80x = 400,659,493,492.86
  5. Step 5: Solve for x
    x = 400,659,493,492.86/524,657.80
  6. Step 6: Final answer
    x = 763,658.70

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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.