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Finding the Fourth Proportional to 364,057.10, 546,085.65 and 204,624.80

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Solution

The fourth proportional to 364,057.10, 546,085.65 and 204,624.80 is: 306,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057.10 : 546,085.65 = 204,624.80 : x
  2. Step 2: Convert to fraction form
    364,057.10/546,085.65 = 204,624.80/x
  3. Step 3: Cross multiply
    364,057.10x = 546,085.65 × 204,624.80
  4. Step 4: Simplify right side
    364,057.10x = 111,742,666,914.12
  5. Step 5: Solve for x
    x = 111,742,666,914.12/364,057.10
  6. Step 6: Final answer
    x = 306,937.20

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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.