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Finding the Fourth Proportional to 974,329.60, 1,460,716.80 and 412,902.40

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Solution

The fourth proportional to 974,329.60, 1,460,716.80 and 412,902.40 is: 619,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,329.60 : 1,460,716.80 = 412,902.40 : x
  2. Step 2: Convert to fraction form
    974,329.60/1,460,716.80 = 412,902.40/x
  3. Step 3: Cross multiply
    974,329.60x = 1,460,716.80 × 412,902.40
  4. Step 4: Simplify right side
    974,329.60x = 603,133,472,440.32
  5. Step 5: Solve for x
    x = 603,133,472,440.32/974,329.60
  6. Step 6: Final answer
    x = 619,024.07

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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.