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Finding the Fourth Proportional to 470,352.40, 705,067.80 and 245,827.60

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Solution

The fourth proportional to 470,352.40, 705,067.80 and 245,827.60 is: 368,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,352.40 : 705,067.80 = 245,827.60 : x
  2. Step 2: Convert to fraction form
    470,352.40/705,067.80 = 245,827.60/x
  3. Step 3: Cross multiply
    470,352.40x = 705,067.80 × 245,827.60
  4. Step 4: Simplify right side
    470,352.40x = 173,325,125,111.28
  5. Step 5: Solve for x
    x = 173,325,125,111.28/470,352.40
  6. Step 6: Final answer
    x = 368,500.56

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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.