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Finding the Fourth Proportional to 827,145.40, 1,240,718.10 and 407,241.40

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Solution

The fourth proportional to 827,145.40, 1,240,718.10 and 407,241.40 is: 610,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,145.40 : 1,240,718.10 = 407,241.40 : x
  2. Step 2: Convert to fraction form
    827,145.40/1,240,718.10 = 407,241.40/x
  3. Step 3: Cross multiply
    827,145.40x = 1,240,718.10 × 407,241.40
  4. Step 4: Simplify right side
    827,145.40x = 505,271,776,049.34
  5. Step 5: Solve for x
    x = 505,271,776,049.34/827,145.40
  6. Step 6: Final answer
    x = 610,862.10

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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.