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Finding the Fourth Proportional to 412,751.70, 578,639.70 and 412,751.70

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Solution

The fourth proportional to 412,751.70, 578,639.70 and 412,751.70 is: 578,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,751.70 : 578,639.70 = 412,751.70 : x
  2. Step 2: Convert to fraction form
    412,751.70/578,639.70 = 412,751.70/x
  3. Step 3: Cross multiply
    412,751.70x = 578,639.70 × 412,751.70
  4. Step 4: Simplify right side
    412,751.70x = 238,834,519,862.49
  5. Step 5: Solve for x
    x = 238,834,519,862.49/412,751.70
  6. Step 6: Final answer
    x = 578,639.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.