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Finding the Fourth Proportional to 296,842.47, 445,259.96 and 72,203.04

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Solution

The fourth proportional to 296,842.47, 445,259.96 and 72,203.04 is: 108,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,842.47 : 445,259.96 = 72,203.04 : x
  2. Step 2: Convert to fraction form
    296,842.47/445,259.96 = 72,203.04/x
  3. Step 3: Cross multiply
    296,842.47x = 445,259.96 × 72,203.04
  4. Step 4: Simplify right side
    296,842.47x = 32,149,122,341.26
  5. Step 5: Solve for x
    x = 32,149,122,341.26/296,842.47
  6. Step 6: Final answer
    x = 108,303.65

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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.