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Finding the Fourth Proportional to 405,615.40, 608,423.10 and 343,407.40

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Solution

The fourth proportional to 405,615.40, 608,423.10 and 343,407.40 is: 515,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,615.40 : 608,423.10 = 343,407.40 : x
  2. Step 2: Convert to fraction form
    405,615.40/608,423.10 = 343,407.40/x
  3. Step 3: Cross multiply
    405,615.40x = 608,423.10 × 343,407.40
  4. Step 4: Simplify right side
    405,615.40x = 208,936,994,870.94
  5. Step 5: Solve for x
    x = 208,936,994,870.94/405,615.40
  6. Step 6: Final answer
    x = 515,111.10

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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.