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Finding the Fourth Proportional to 980,263.11, 1,470,970.19 and 411,600.49

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Solution

The fourth proportional to 980,263.11, 1,470,970.19 and 411,600.49 is: 617,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,263.11 : 1,470,970.19 = 411,600.49 : x
  2. Step 2: Convert to fraction form
    980,263.11/1,470,970.19 = 411,600.49/x
  3. Step 3: Cross multiply
    980,263.11x = 1,470,970.19 × 411,600.49
  4. Step 4: Simplify right side
    980,263.11x = 605,452,050,979.39
  5. Step 5: Solve for x
    x = 605,452,050,979.39/980,263.11
  6. Step 6: Final answer
    x = 617,642.39

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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.