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Finding the Fourth Proportional to 438,493.30, 657,999.15 and 289,165.30

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Solution

The fourth proportional to 438,493.30, 657,999.15 and 289,165.30 is: 433,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,493.30 : 657,999.15 = 289,165.30 : x
  2. Step 2: Convert to fraction form
    438,493.30/657,999.15 = 289,165.30/x
  3. Step 3: Cross multiply
    438,493.30x = 657,999.15 × 289,165.30
  4. Step 4: Simplify right side
    438,493.30x = 190,270,521,609.50
  5. Step 5: Solve for x
    x = 190,270,521,609.50/438,493.30
  6. Step 6: Final answer
    x = 433,918.88

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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.