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Finding the Fourth Proportional to 351,749.52, 525,077.30 and 309,186.86

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Solution

The fourth proportional to 351,749.52, 525,077.30 and 309,186.86 is: 461,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,749.52 : 525,077.30 = 309,186.86 : x
  2. Step 2: Convert to fraction form
    351,749.52/525,077.30 = 309,186.86/x
  3. Step 3: Cross multiply
    351,749.52x = 525,077.30 × 309,186.86
  4. Step 4: Simplify right side
    351,749.52x = 162,346,999,791.86
  5. Step 5: Solve for x
    x = 162,346,999,791.86/351,749.52
  6. Step 6: Final answer
    x = 461,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.