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Finding the Fourth Proportional to 829,441.60, 1,144,666.92 and 466,990

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Solution

The fourth proportional to 829,441.60, 1,144,666.92 and 466,990 is: 644,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,441.60 : 1,144,666.92 = 466,990 : x
  2. Step 2: Convert to fraction form
    829,441.60/1,144,666.92 = 466,990/x
  3. Step 3: Cross multiply
    829,441.60x = 1,144,666.92 × 466,990
  4. Step 4: Simplify right side
    829,441.60x = 534,548,004,970.80
  5. Step 5: Solve for x
    x = 534,548,004,970.80/829,441.60
  6. Step 6: Final answer
    x = 644,467.32

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