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Finding the Fourth Proportional to 294,209.70, 441,314.55 and 83,820.30

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Solution

The fourth proportional to 294,209.70, 441,314.55 and 83,820.30 is: 125,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,209.70 : 441,314.55 = 83,820.30 : x
  2. Step 2: Convert to fraction form
    294,209.70/441,314.55 = 83,820.30/x
  3. Step 3: Cross multiply
    294,209.70x = 441,314.55 × 83,820.30
  4. Step 4: Simplify right side
    294,209.70x = 36,991,117,975.37
  5. Step 5: Solve for x
    x = 36,991,117,975.37/294,209.70
  6. Step 6: Final answer
    x = 125,730.45

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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.