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Finding the Fourth Proportional to 433,657.95, 650,548.89 and 134,164.10

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Solution

The fourth proportional to 433,657.95, 650,548.89 and 134,164.10 is: 201,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,657.95 : 650,548.89 = 134,164.10 : x
  2. Step 2: Convert to fraction form
    433,657.95/650,548.89 = 134,164.10/x
  3. Step 3: Cross multiply
    433,657.95x = 650,548.89 × 134,164.10
  4. Step 4: Simplify right side
    433,657.95x = 87,280,303,080.10
  5. Step 5: Solve for x
    x = 87,280,303,080.10/433,657.95
  6. Step 6: Final answer
    x = 201,265.31

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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.