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Finding the Fourth Proportional to 455,538.60, 683,291.70 and 206,220.60

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Solution

The fourth proportional to 455,538.60, 683,291.70 and 206,220.60 is: 309,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,538.60 : 683,291.70 = 206,220.60 : x
  2. Step 2: Convert to fraction form
    455,538.60/683,291.70 = 206,220.60/x
  3. Step 3: Cross multiply
    455,538.60x = 683,291.70 × 206,220.60
  4. Step 4: Simplify right side
    455,538.60x = 140,908,824,349.02
  5. Step 5: Solve for x
    x = 140,908,824,349.02/455,538.60
  6. Step 6: Final answer
    x = 309,323.57

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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.