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Finding the Fourth Proportional to 433,205.10, 649,807.65 and 307,233.90

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Solution

The fourth proportional to 433,205.10, 649,807.65 and 307,233.90 is: 460,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,205.10 : 649,807.65 = 307,233.90 : x
  2. Step 2: Convert to fraction form
    433,205.10/649,807.65 = 307,233.90/x
  3. Step 3: Cross multiply
    433,205.10x = 649,807.65 × 307,233.90
  4. Step 4: Simplify right side
    433,205.10x = 199,642,938,559.34
  5. Step 5: Solve for x
    x = 199,642,938,559.34/433,205.10
  6. Step 6: Final answer
    x = 460,850.85

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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.