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Finding the Fourth Proportional to 260,956.90, 390,852.15 and 214,300.90

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Solution

The fourth proportional to 260,956.90, 390,852.15 and 214,300.90 is: 320,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,956.90 : 390,852.15 = 214,300.90 : x
  2. Step 2: Convert to fraction form
    260,956.90/390,852.15 = 214,300.90/x
  3. Step 3: Cross multiply
    260,956.90x = 390,852.15 × 214,300.90
  4. Step 4: Simplify right side
    260,956.90x = 83,759,967,511.94
  5. Step 5: Solve for x
    x = 83,759,967,511.94/260,956.90
  6. Step 6: Final answer
    x = 320,972.42

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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.