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Finding the Fourth Proportional to 364,005.20, 546,007.80 and 206,541.20

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Solution

The fourth proportional to 364,005.20, 546,007.80 and 206,541.20 is: 309,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,005.20 : 546,007.80 = 206,541.20 : x
  2. Step 2: Convert to fraction form
    364,005.20/546,007.80 = 206,541.20/x
  3. Step 3: Cross multiply
    364,005.20x = 546,007.80 × 206,541.20
  4. Step 4: Simplify right side
    364,005.20x = 112,773,106,221.36
  5. Step 5: Solve for x
    x = 112,773,106,221.36/364,005.20
  6. Step 6: Final answer
    x = 309,811.80

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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.