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Finding the Fourth Proportional to 469,642.52, 703,903.27 and 256,464.09

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Solution

The fourth proportional to 469,642.52, 703,903.27 and 256,464.09 is: 384,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,642.52 : 703,903.27 = 256,464.09 : x
  2. Step 2: Convert to fraction form
    469,642.52/703,903.27 = 256,464.09/x
  3. Step 3: Cross multiply
    469,642.52x = 703,903.27 × 256,464.09
  4. Step 4: Simplify right side
    469,642.52x = 180,525,911,588.57
  5. Step 5: Solve for x
    x = 180,525,911,588.57/469,642.52
  6. Step 6: Final answer
    x = 384,390.05

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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.