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Finding the Fourth Proportional to 432,020.40, 648,808.20 and 313,825.20

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Solution

The fourth proportional to 432,020.40, 648,808.20 and 313,825.20 is: 471,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,020.40 : 648,808.20 = 313,825.20 : x
  2. Step 2: Convert to fraction form
    432,020.40/648,808.20 = 313,825.20/x
  3. Step 3: Cross multiply
    432,020.40x = 648,808.20 × 313,825.20
  4. Step 4: Simplify right side
    432,020.40x = 203,612,363,126.64
  5. Step 5: Solve for x
    x = 203,612,363,126.64/432,020.40
  6. Step 6: Final answer
    x = 471,302.66

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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.