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Finding the Fourth Proportional to 470,178.80, 704,231.40 and 248,303.60

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Solution

The fourth proportional to 470,178.80, 704,231.40 and 248,303.60 is: 371,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,178.80 : 704,231.40 = 248,303.60 : x
  2. Step 2: Convert to fraction form
    470,178.80/704,231.40 = 248,303.60/x
  3. Step 3: Cross multiply
    470,178.80x = 704,231.40 × 248,303.60
  4. Step 4: Simplify right side
    470,178.80x = 174,863,191,853.04
  5. Step 5: Solve for x
    x = 174,863,191,853.04/470,178.80
  6. Step 6: Final answer
    x = 371,907.86

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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.