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Finding the Fourth Proportional to 546,750.40, 820,125.60 and 413,890.15

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Solution

The fourth proportional to 546,750.40, 820,125.60 and 413,890.15 is: 620,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,750.40 : 820,125.60 = 413,890.15 : x
  2. Step 2: Convert to fraction form
    546,750.40/820,125.60 = 413,890.15/x
  3. Step 3: Cross multiply
    546,750.40x = 820,125.60 × 413,890.15
  4. Step 4: Simplify right side
    546,750.40x = 339,441,907,602.84
  5. Step 5: Solve for x
    x = 339,441,907,602.84/546,750.40
  6. Step 6: Final answer
    x = 620,835.23

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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.