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Finding the Fourth Proportional to 364,542.80, 546,814.20 and 341,214.80

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Solution

The fourth proportional to 364,542.80, 546,814.20 and 341,214.80 is: 511,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,542.80 : 546,814.20 = 341,214.80 : x
  2. Step 2: Convert to fraction form
    364,542.80/546,814.20 = 341,214.80/x
  3. Step 3: Cross multiply
    364,542.80x = 546,814.20 × 341,214.80
  4. Step 4: Simplify right side
    364,542.80x = 186,581,097,890.16
  5. Step 5: Solve for x
    x = 186,581,097,890.16/364,542.80
  6. Step 6: Final answer
    x = 511,822.20

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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.