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Finding the Fourth Proportional to 408,410.40, 612,615.60 and 390,039.60

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Solution

The fourth proportional to 408,410.40, 612,615.60 and 390,039.60 is: 585,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,410.40 : 612,615.60 = 390,039.60 : x
  2. Step 2: Convert to fraction form
    408,410.40/612,615.60 = 390,039.60/x
  3. Step 3: Cross multiply
    408,410.40x = 612,615.60 × 390,039.60
  4. Step 4: Simplify right side
    408,410.40x = 238,944,343,577.76
  5. Step 5: Solve for x
    x = 238,944,343,577.76/408,410.40
  6. Step 6: Final answer
    x = 585,059.40

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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.