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Finding the Fourth Proportional to 433,842.90, 598,774.86 and 297,765.06

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Solution

The fourth proportional to 433,842.90, 598,774.86 and 297,765.06 is: 410,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,842.90 : 598,774.86 = 297,765.06 : x
  2. Step 2: Convert to fraction form
    433,842.90/598,774.86 = 297,765.06/x
  3. Step 3: Cross multiply
    433,842.90x = 598,774.86 × 297,765.06
  4. Step 4: Simplify right side
    433,842.90x = 178,294,232,114.39
  5. Step 5: Solve for x
    x = 178,294,232,114.39/433,842.90
  6. Step 6: Final answer
    x = 410,964.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.