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Finding the Fourth Proportional to 410,166.83, 614,364.50 and 400,128.50

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Solution

The fourth proportional to 410,166.83, 614,364.50 and 400,128.50 is: 599,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,166.83 : 614,364.50 = 400,128.50 : x
  2. Step 2: Convert to fraction form
    410,166.83/614,364.50 = 400,128.50/x
  3. Step 3: Cross multiply
    410,166.83x = 614,364.50 × 400,128.50
  4. Step 4: Simplify right side
    410,166.83x = 245,824,745,838.25
  5. Step 5: Solve for x
    x = 245,824,745,838.25/410,166.83
  6. Step 6: Final answer
    x = 599,328.68

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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.