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Finding the Fourth Proportional to 974,506.70, 1,461,241.65 and 412,906.70

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Solution

The fourth proportional to 974,506.70, 1,461,241.65 and 412,906.70 is: 619,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,506.70 : 1,461,241.65 = 412,906.70 : x
  2. Step 2: Convert to fraction form
    974,506.70/1,461,241.65 = 412,906.70/x
  3. Step 3: Cross multiply
    974,506.70x = 1,461,241.65 × 412,906.70
  4. Step 4: Simplify right side
    974,506.70x = 603,356,467,604.06
  5. Step 5: Solve for x
    x = 603,356,467,604.06/974,506.70
  6. Step 6: Final answer
    x = 619,140.40

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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.