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Finding the Fourth Proportional to 974,348.10, 1,460,744.55 and 412,920.90

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Solution

The fourth proportional to 974,348.10, 1,460,744.55 and 412,920.90 is: 619,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,348.10 : 1,460,744.55 = 412,920.90 : x
  2. Step 2: Convert to fraction form
    974,348.10/1,460,744.55 = 412,920.90/x
  3. Step 3: Cross multiply
    974,348.10x = 1,460,744.55 × 412,920.90
  4. Step 4: Simplify right side
    974,348.10x = 603,171,954,256.10
  5. Step 5: Solve for x
    x = 603,171,954,256.10/974,348.10
  6. Step 6: Final answer
    x = 619,051.81

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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.