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Finding the Fourth Proportional to 408,085.60, 612,128.40 and 308,552.80

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Solution

The fourth proportional to 408,085.60, 612,128.40 and 308,552.80 is: 462,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,085.60 : 612,128.40 = 308,552.80 : x
  2. Step 2: Convert to fraction form
    408,085.60/612,128.40 = 308,552.80/x
  3. Step 3: Cross multiply
    408,085.60x = 612,128.40 × 308,552.80
  4. Step 4: Simplify right side
    408,085.60x = 188,873,931,779.52
  5. Step 5: Solve for x
    x = 188,873,931,779.52/408,085.60
  6. Step 6: Final answer
    x = 462,829.20

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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.