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Finding the Fourth Proportional to 507,907.30, 700,920 and 278,485.54

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Solution

The fourth proportional to 507,907.30, 700,920 and 278,485.54 is: 384,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,907.30 : 700,920 = 278,485.54 : x
  2. Step 2: Convert to fraction form
    507,907.30/700,920 = 278,485.54/x
  3. Step 3: Cross multiply
    507,907.30x = 700,920 × 278,485.54
  4. Step 4: Simplify right side
    507,907.30x = 195,196,084,696.80
  5. Step 5: Solve for x
    x = 195,196,084,696.80/507,907.30
  6. Step 6: Final answer
    x = 384,314.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.