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Finding the Fourth Proportional to 230,886.30, 346,329.45 and 213,606.30

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Solution

The fourth proportional to 230,886.30, 346,329.45 and 213,606.30 is: 320,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,886.30 : 346,329.45 = 213,606.30 : x
  2. Step 2: Convert to fraction form
    230,886.30/346,329.45 = 213,606.30/x
  3. Step 3: Cross multiply
    230,886.30x = 346,329.45 × 213,606.30
  4. Step 4: Simplify right side
    230,886.30x = 73,978,152,395.54
  5. Step 5: Solve for x
    x = 73,978,152,395.54/230,886.30
  6. Step 6: Final answer
    x = 320,409.45

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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.