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Finding the Fourth Proportional to 364,246.40, 546,446.40 and 114,953.60

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Solution

The fourth proportional to 364,246.40, 546,446.40 and 114,953.60 is: 172,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,246.40 : 546,446.40 = 114,953.60 : x
  2. Step 2: Convert to fraction form
    364,246.40/546,446.40 = 114,953.60/x
  3. Step 3: Cross multiply
    364,246.40x = 546,446.40 × 114,953.60
  4. Step 4: Simplify right side
    364,246.40x = 62,815,980,887.04
  5. Step 5: Solve for x
    x = 62,815,980,887.04/364,246.40
  6. Step 6: Final answer
    x = 172,454.64

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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.