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Finding the Fourth Proportional to 260,029.40, 389,460.90 and 213,373.40

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Solution

The fourth proportional to 260,029.40, 389,460.90 and 213,373.40 is: 319,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,029.40 : 389,460.90 = 213,373.40 : x
  2. Step 2: Convert to fraction form
    260,029.40/389,460.90 = 213,373.40/x
  3. Step 3: Cross multiply
    260,029.40x = 389,460.90 × 213,373.40
  4. Step 4: Simplify right side
    260,029.40x = 83,100,596,400.06
  5. Step 5: Solve for x
    x = 83,100,596,400.06/260,029.40
  6. Step 6: Final answer
    x = 319,581.54

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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.