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Finding the Fourth Proportional to 235,408.40, 353,112.60 and 209,603.60

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Solution

The fourth proportional to 235,408.40, 353,112.60 and 209,603.60 is: 314,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,408.40 : 353,112.60 = 209,603.60 : x
  2. Step 2: Convert to fraction form
    235,408.40/353,112.60 = 209,603.60/x
  3. Step 3: Cross multiply
    235,408.40x = 353,112.60 × 209,603.60
  4. Step 4: Simplify right side
    235,408.40x = 74,013,672,165.36
  5. Step 5: Solve for x
    x = 74,013,672,165.36/235,408.40
  6. Step 6: Final answer
    x = 314,405.40

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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.