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Finding the Fourth Proportional to 364,536.40, 546,804.60 and 298,051.60

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Solution

The fourth proportional to 364,536.40, 546,804.60 and 298,051.60 is: 447,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,536.40 : 546,804.60 = 298,051.60 : x
  2. Step 2: Convert to fraction form
    364,536.40/546,804.60 = 298,051.60/x
  3. Step 3: Cross multiply
    364,536.40x = 546,804.60 × 298,051.60
  4. Step 4: Simplify right side
    364,536.40x = 162,975,985,917.36
  5. Step 5: Solve for x
    x = 162,975,985,917.36/364,536.40
  6. Step 6: Final answer
    x = 447,077.40

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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.