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Finding the Fourth Proportional to 408,117.60, 612,176.40 and 386,466.30

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Solution

The fourth proportional to 408,117.60, 612,176.40 and 386,466.30 is: 579,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,117.60 : 612,176.40 = 386,466.30 : x
  2. Step 2: Convert to fraction form
    408,117.60/612,176.40 = 386,466.30/x
  3. Step 3: Cross multiply
    408,117.60x = 612,176.40 × 386,466.30
  4. Step 4: Simplify right side
    408,117.60x = 236,585,548,255.32
  5. Step 5: Solve for x
    x = 236,585,548,255.32/408,117.60
  6. Step 6: Final answer
    x = 579,699.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.