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Finding the Fourth Proportional to 360,023.94, 496,893.69 and 209,208.42

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Solution

The fourth proportional to 360,023.94, 496,893.69 and 209,208.42 is: 288,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,023.94 : 496,893.69 = 209,208.42 : x
  2. Step 2: Convert to fraction form
    360,023.94/496,893.69 = 209,208.42/x
  3. Step 3: Cross multiply
    360,023.94x = 496,893.69 × 209,208.42
  4. Step 4: Simplify right side
    360,023.94x = 103,954,343,792.87
  5. Step 5: Solve for x
    x = 103,954,343,792.87/360,023.94
  6. Step 6: Final answer
    x = 288,742.86

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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.