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Finding the Fourth Proportional to 469,189.69, 647,464.35 and 254,325.13

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Solution

The fourth proportional to 469,189.69, 647,464.35 and 254,325.13 is: 350,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,189.69 : 647,464.35 = 254,325.13 : x
  2. Step 2: Convert to fraction form
    469,189.69/647,464.35 = 254,325.13/x
  3. Step 3: Cross multiply
    469,189.69x = 647,464.35 × 254,325.13
  4. Step 4: Simplify right side
    469,189.69x = 164,666,454,984.12
  5. Step 5: Solve for x
    x = 164,666,454,984.12/469,189.69
  6. Step 6: Final answer
    x = 350,959.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.