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Finding the Fourth Proportional to 433,483.65, 650,064.11 and 149,094.36

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Solution

The fourth proportional to 433,483.65, 650,064.11 and 149,094.36 is: 223,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,483.65 : 650,064.11 = 149,094.36 : x
  2. Step 2: Convert to fraction form
    433,483.65/650,064.11 = 149,094.36/x
  3. Step 3: Cross multiply
    433,483.65x = 650,064.11 × 149,094.36
  4. Step 4: Simplify right side
    433,483.65x = 96,920,891,693.95
  5. Step 5: Solve for x
    x = 96,920,891,693.95/433,483.65
  6. Step 6: Final answer
    x = 223,586.04

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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.