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Finding the Fourth Proportional to 433,426.95, 649,978.77 and 149,037.06

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Solution

The fourth proportional to 433,426.95, 649,978.77 and 149,037.06 is: 223,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,426.95 : 649,978.77 = 149,037.06 : x
  2. Step 2: Convert to fraction form
    433,426.95/649,978.77 = 149,037.06/x
  3. Step 3: Cross multiply
    433,426.95x = 649,978.77 × 149,037.06
  4. Step 4: Simplify right side
    433,426.95x = 96,870,924,943.22
  5. Step 5: Solve for x
    x = 96,870,924,943.22/433,426.95
  6. Step 6: Final answer
    x = 223,500.01

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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.