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Finding the Fourth Proportional to 433,564.70, 650,314.65 and 180,779.90

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Solution

The fourth proportional to 433,564.70, 650,314.65 and 180,779.90 is: 271,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,564.70 : 650,314.65 = 180,779.90 : x
  2. Step 2: Convert to fraction form
    433,564.70/650,314.65 = 180,779.90/x
  3. Step 3: Cross multiply
    433,564.70x = 650,314.65 × 180,779.90
  4. Step 4: Simplify right side
    433,564.70x = 117,563,817,395.54
  5. Step 5: Solve for x
    x = 117,563,817,395.54/433,564.70
  6. Step 6: Final answer
    x = 271,156.34

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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.