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Finding the Fourth Proportional to 333,959.76, 460,633.23 and 206,559.72

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Solution

The fourth proportional to 333,959.76, 460,633.23 and 206,559.72 is: 284,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,959.76 : 460,633.23 = 206,559.72 : x
  2. Step 2: Convert to fraction form
    333,959.76/460,633.23 = 206,559.72/x
  3. Step 3: Cross multiply
    333,959.76x = 460,633.23 × 206,559.72
  4. Step 4: Simplify right side
    333,959.76x = 95,148,271,011.50
  5. Step 5: Solve for x
    x = 95,148,271,011.50/333,959.76
  6. Step 6: Final answer
    x = 284,909.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.