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Finding the Fourth Proportional to 230,895.60, 346,343.40 and 213,180.90

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Solution

The fourth proportional to 230,895.60, 346,343.40 and 213,180.90 is: 319,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,895.60 : 346,343.40 = 213,180.90 : x
  2. Step 2: Convert to fraction form
    230,895.60/346,343.40 = 213,180.90/x
  3. Step 3: Cross multiply
    230,895.60x = 346,343.40 × 213,180.90
  4. Step 4: Simplify right side
    230,895.60x = 73,833,797,721.06
  5. Step 5: Solve for x
    x = 73,833,797,721.06/230,895.60
  6. Step 6: Final answer
    x = 319,771.35

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1.5x scale

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.