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Finding the Fourth Proportional to 433,363.80, 650,045.70 and 291,646.20

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Solution

The fourth proportional to 433,363.80, 650,045.70 and 291,646.20 is: 437,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,363.80 : 650,045.70 = 291,646.20 : x
  2. Step 2: Convert to fraction form
    433,363.80/650,045.70 = 291,646.20/x
  3. Step 3: Cross multiply
    433,363.80x = 650,045.70 × 291,646.20
  4. Step 4: Simplify right side
    433,363.80x = 189,583,358,231.34
  5. Step 5: Solve for x
    x = 189,583,358,231.34/433,363.80
  6. Step 6: Final answer
    x = 437,469.30

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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.