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Finding the Fourth Proportional to 520,030.20, 780,118.20 and 204,413.70

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Solution

The fourth proportional to 520,030.20, 780,118.20 and 204,413.70 is: 306,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,030.20 : 780,118.20 = 204,413.70 : x
  2. Step 2: Convert to fraction form
    520,030.20/780,118.20 = 204,413.70/x
  3. Step 3: Cross multiply
    520,030.20x = 780,118.20 × 204,413.70
  4. Step 4: Simplify right side
    520,030.20x = 159,466,847,699.34
  5. Step 5: Solve for x
    x = 159,466,847,699.34/520,030.20
  6. Step 6: Final answer
    x = 306,649.21

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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.