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Finding the Fourth Proportional to 399,206.40, 598,809.60 and 359,840.40

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Solution

The fourth proportional to 399,206.40, 598,809.60 and 359,840.40 is: 539,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,206.40 : 598,809.60 = 359,840.40 : x
  2. Step 2: Convert to fraction form
    399,206.40/598,809.60 = 359,840.40/x
  3. Step 3: Cross multiply
    399,206.40x = 598,809.60 × 359,840.40
  4. Step 4: Simplify right side
    399,206.40x = 215,475,885,987.84
  5. Step 5: Solve for x
    x = 215,475,885,987.84/399,206.40
  6. Step 6: Final answer
    x = 539,760.60

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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.