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Finding the Fourth Proportional to 334,080, 461,245.44 and 298,208.64

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Solution

The fourth proportional to 334,080, 461,245.44 and 298,208.64 is: 411,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,080 : 461,245.44 = 298,208.64 : x
  2. Step 2: Convert to fraction form
    334,080/461,245.44 = 298,208.64/x
  3. Step 3: Cross multiply
    334,080x = 461,245.44 × 298,208.64
  4. Step 4: Simplify right side
    334,080x = 137,547,375,368.60
  5. Step 5: Solve for x
    x = 137,547,375,368.60/334,080
  6. Step 6: Final answer
    x = 411,719.87

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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.