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Finding the Fourth Proportional to 334,083, 461,249.58 and 298,211.64

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Solution

The fourth proportional to 334,083, 461,249.58 and 298,211.64 is: 411,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,083 : 461,249.58 = 298,211.64 : x
  2. Step 2: Convert to fraction form
    334,083/461,249.58 = 298,211.64/x
  3. Step 3: Cross multiply
    334,083x = 461,249.58 × 298,211.64
  4. Step 4: Simplify right side
    334,083x = 137,549,993,701.11
  5. Step 5: Solve for x
    x = 137,549,993,701.11/334,083
  6. Step 6: Final answer
    x = 411,724.01

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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.