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Finding the Fourth Proportional to 405,095.20, 605,893.20 and 342,109.60

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Solution

The fourth proportional to 405,095.20, 605,893.20 and 342,109.60 is: 511,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,095.20 : 605,893.20 = 342,109.60 : x
  2. Step 2: Convert to fraction form
    405,095.20/605,893.20 = 342,109.60/x
  3. Step 3: Cross multiply
    405,095.20x = 605,893.20 × 342,109.60
  4. Step 4: Simplify right side
    405,095.20x = 207,281,880,294.72
  5. Step 5: Solve for x
    x = 207,281,880,294.72/405,095.20
  6. Step 6: Final answer
    x = 511,686.83

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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.