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Finding the Fourth Proportional to 433,034.60, 649,206.30 and 183,511.40

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Solution

The fourth proportional to 433,034.60, 649,206.30 and 183,511.40 is: 275,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,034.60 : 649,206.30 = 183,511.40 : x
  2. Step 2: Convert to fraction form
    433,034.60/649,206.30 = 183,511.40/x
  3. Step 3: Cross multiply
    433,034.60x = 649,206.30 × 183,511.40
  4. Step 4: Simplify right side
    433,034.60x = 119,136,757,001.82
  5. Step 5: Solve for x
    x = 119,136,757,001.82/433,034.60
  6. Step 6: Final answer
    x = 275,120.64

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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.