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Finding the Fourth Proportional to 532,553.40, 798,830.10 and 413,580.60

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Solution

The fourth proportional to 532,553.40, 798,830.10 and 413,580.60 is: 620,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,553.40 : 798,830.10 = 413,580.60 : x
  2. Step 2: Convert to fraction form
    532,553.40/798,830.10 = 413,580.60/x
  3. Step 3: Cross multiply
    532,553.40x = 798,830.10 × 413,580.60
  4. Step 4: Simplify right side
    532,553.40x = 330,380,632,056.06
  5. Step 5: Solve for x
    x = 330,380,632,056.06/532,553.40
  6. Step 6: Final answer
    x = 620,370.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.