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Finding the Fourth Proportional to 399,107.60, 598,661.40 and 162,328.40

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Solution

The fourth proportional to 399,107.60, 598,661.40 and 162,328.40 is: 243,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,107.60 : 598,661.40 = 162,328.40 : x
  2. Step 2: Convert to fraction form
    399,107.60/598,661.40 = 162,328.40/x
  3. Step 3: Cross multiply
    399,107.60x = 598,661.40 × 162,328.40
  4. Step 4: Simplify right side
    399,107.60x = 97,179,747,203.76
  5. Step 5: Solve for x
    x = 97,179,747,203.76/399,107.60
  6. Step 6: Final answer
    x = 243,492.60

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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.