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Finding the Fourth Proportional to 433,507.86, 650,448.57 and 180,838.11

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Solution

The fourth proportional to 433,507.86, 650,448.57 and 180,838.11 is: 271,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,507.86 : 650,448.57 = 180,838.11 : x
  2. Step 2: Convert to fraction form
    433,507.86/650,448.57 = 180,838.11/x
  3. Step 3: Cross multiply
    433,507.86x = 650,448.57 × 180,838.11
  4. Step 4: Simplify right side
    433,507.86x = 117,625,890,051.00
  5. Step 5: Solve for x
    x = 117,625,890,051.00/433,507.86
  6. Step 6: Final answer
    x = 271,335.08

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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.