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Finding the Fourth Proportional to 446,961.60, 670,442.40 and 258,004.80

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Solution

The fourth proportional to 446,961.60, 670,442.40 and 258,004.80 is: 387,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,961.60 : 670,442.40 = 258,004.80 : x
  2. Step 2: Convert to fraction form
    446,961.60/670,442.40 = 258,004.80/x
  3. Step 3: Cross multiply
    446,961.60x = 670,442.40 × 258,004.80
  4. Step 4: Simplify right side
    446,961.60x = 172,977,357,323.52
  5. Step 5: Solve for x
    x = 172,977,357,323.52/446,961.60
  6. Step 6: Final answer
    x = 387,007.20

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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.