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Finding the Fourth Proportional to 460,069.60, 689,456.40 and 365,461.60

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Solution

The fourth proportional to 460,069.60, 689,456.40 and 365,461.60 is: 547,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,069.60 : 689,456.40 = 365,461.60 : x
  2. Step 2: Convert to fraction form
    460,069.60/689,456.40 = 365,461.60/x
  3. Step 3: Cross multiply
    460,069.60x = 689,456.40 × 365,461.60
  4. Step 4: Simplify right side
    460,069.60x = 251,969,839,074.24
  5. Step 5: Solve for x
    x = 251,969,839,074.24/460,069.60
  6. Step 6: Final answer
    x = 547,677.65

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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.