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Finding the Fourth Proportional to 314,826.40, 472,196.40 and 104,442.40

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Solution

The fourth proportional to 314,826.40, 472,196.40 and 104,442.40 is: 156,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,826.40 : 472,196.40 = 104,442.40 : x
  2. Step 2: Convert to fraction form
    314,826.40/472,196.40 = 104,442.40/x
  3. Step 3: Cross multiply
    314,826.40x = 472,196.40 × 104,442.40
  4. Step 4: Simplify right side
    314,826.40x = 49,317,325,287.36
  5. Step 5: Solve for x
    x = 49,317,325,287.36/314,826.40
  6. Step 6: Final answer
    x = 156,649.27

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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.