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Finding the Fourth Proportional to 399,259.49, 598,808.23 and 146,453.95

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Solution

The fourth proportional to 399,259.49, 598,808.23 and 146,453.95 is: 219,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,259.49 : 598,808.23 = 146,453.95 : x
  2. Step 2: Convert to fraction form
    399,259.49/598,808.23 = 146,453.95/x
  3. Step 3: Cross multiply
    399,259.49x = 598,808.23 × 146,453.95
  4. Step 4: Simplify right side
    399,259.49x = 87,697,828,712.85
  5. Step 5: Solve for x
    x = 87,697,828,712.85/399,259.49
  6. Step 6: Final answer
    x = 219,651.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.