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Finding the Fourth Proportional to 410,401.08, 616,535.78 and 296,898.98

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Solution

The fourth proportional to 410,401.08, 616,535.78 and 296,898.98 is: 446,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,401.08 : 616,535.78 = 296,898.98 : x
  2. Step 2: Convert to fraction form
    410,401.08/616,535.78 = 296,898.98/x
  3. Step 3: Cross multiply
    410,401.08x = 616,535.78 × 296,898.98
  4. Step 4: Simplify right side
    410,401.08x = 183,048,844,215.50
  5. Step 5: Solve for x
    x = 183,048,844,215.50/410,401.08
  6. Step 6: Final answer
    x = 446,024.28

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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.