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Finding the Fourth Proportional to 364,852.12, 546,906.12 and 206,746.60

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Solution

The fourth proportional to 364,852.12, 546,906.12 and 206,746.60 is: 309,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,852.12 : 546,906.12 = 206,746.60 : x
  2. Step 2: Convert to fraction form
    364,852.12/546,906.12 = 206,746.60/x
  3. Step 3: Cross multiply
    364,852.12x = 546,906.12 × 206,746.60
  4. Step 4: Simplify right side
    364,852.12x = 113,070,980,829.19
  5. Step 5: Solve for x
    x = 113,070,980,829.19/364,852.12
  6. Step 6: Final answer
    x = 309,909.07

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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.