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Finding the Fourth Proportional to 364,014, 546,128.73 and 186,645.47

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Solution

The fourth proportional to 364,014, 546,128.73 and 186,645.47 is: 280,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,014 : 546,128.73 = 186,645.47 : x
  2. Step 2: Convert to fraction form
    364,014/546,128.73 = 186,645.47/x
  3. Step 3: Cross multiply
    364,014x = 546,128.73 × 186,645.47
  4. Step 4: Simplify right side
    364,014x = 101,932,450,760.71
  5. Step 5: Solve for x
    x = 101,932,450,760.71/364,014
  6. Step 6: Final answer
    x = 280,023.44

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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.