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Finding the Fourth Proportional to 334,703.23, 461,774.99 and 213,915.22

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Solution

The fourth proportional to 334,703.23, 461,774.99 and 213,915.22 is: 295,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,703.23 : 461,774.99 = 213,915.22 : x
  2. Step 2: Convert to fraction form
    334,703.23/461,774.99 = 213,915.22/x
  3. Step 3: Cross multiply
    334,703.23x = 461,774.99 × 213,915.22
  4. Step 4: Simplify right side
    334,703.23x = 98,780,697,956.70
  5. Step 5: Solve for x
    x = 98,780,697,956.70/334,703.23
  6. Step 6: Final answer
    x = 295,129.21

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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.