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Finding the Fourth Proportional to 455,501.60, 683,457.20 and 206,055.20

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Solution

The fourth proportional to 455,501.60, 683,457.20 and 206,055.20 is: 309,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,501.60 : 683,457.20 = 206,055.20 : x
  2. Step 2: Convert to fraction form
    455,501.60/683,457.20 = 206,055.20/x
  3. Step 3: Cross multiply
    455,501.60x = 683,457.20 × 206,055.20
  4. Step 4: Simplify right side
    455,501.60x = 140,829,910,037.44
  5. Step 5: Solve for x
    x = 140,829,910,037.44/455,501.60
  6. Step 6: Final answer
    x = 309,175.45

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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.