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Finding the Fourth Proportional to 284,918.40, 426,859.20 and 232,041.60

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Solution

The fourth proportional to 284,918.40, 426,859.20 and 232,041.60 is: 347,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,918.40 : 426,859.20 = 232,041.60 : x
  2. Step 2: Convert to fraction form
    284,918.40/426,859.20 = 232,041.60/x
  3. Step 3: Cross multiply
    284,918.40x = 426,859.20 × 232,041.60
  4. Step 4: Simplify right side
    284,918.40x = 99,049,091,742.72
  5. Step 5: Solve for x
    x = 99,049,091,742.72/284,918.40
  6. Step 6: Final answer
    x = 347,640.21

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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.