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Finding the Fourth Proportional to 456,271.40, 684,407.10 and 123,847.40

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Solution

The fourth proportional to 456,271.40, 684,407.10 and 123,847.40 is: 185,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,271.40 : 684,407.10 = 123,847.40 : x
  2. Step 2: Convert to fraction form
    456,271.40/684,407.10 = 123,847.40/x
  3. Step 3: Cross multiply
    456,271.40x = 684,407.10 × 123,847.40
  4. Step 4: Simplify right side
    456,271.40x = 84,762,039,876.54
  5. Step 5: Solve for x
    x = 84,762,039,876.54/456,271.40
  6. Step 6: Final answer
    x = 185,771.10

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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.