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Finding the Fourth Proportional to 642,735.90, 965,140.65 and 433,302.30

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Solution

The fourth proportional to 642,735.90, 965,140.65 and 433,302.30 is: 650,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,735.90 : 965,140.65 = 433,302.30 : x
  2. Step 2: Convert to fraction form
    642,735.90/965,140.65 = 433,302.30/x
  3. Step 3: Cross multiply
    642,735.90x = 965,140.65 × 433,302.30
  4. Step 4: Simplify right side
    642,735.90x = 418,197,663,468.50
  5. Step 5: Solve for x
    x = 418,197,663,468.50/642,735.90
  6. Step 6: Final answer
    x = 650,652.41

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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.