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Finding the Fourth Proportional to 410,170.84, 614,370.50 and 400,132.50

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Solution

The fourth proportional to 410,170.84, 614,370.50 and 400,132.50 is: 599,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,170.84 : 614,370.50 = 400,132.50 : x
  2. Step 2: Convert to fraction form
    410,170.84/614,370.50 = 400,132.50/x
  3. Step 3: Cross multiply
    410,170.84x = 614,370.50 × 400,132.50
  4. Step 4: Simplify right side
    410,170.84x = 245,829,604,091.25
  5. Step 5: Solve for x
    x = 245,829,604,091.25/410,170.84
  6. Step 6: Final answer
    x = 599,334.67

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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.