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Finding the Fourth Proportional to 460,490.94, 689,461.11 and 235,366.62

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Solution

The fourth proportional to 460,490.94, 689,461.11 and 235,366.62 is: 352,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,490.94 : 689,461.11 = 235,366.62 : x
  2. Step 2: Convert to fraction form
    460,490.94/689,461.11 = 235,366.62/x
  3. Step 3: Cross multiply
    460,490.94x = 689,461.11 × 235,366.62
  4. Step 4: Simplify right side
    460,490.94x = 162,276,131,082.15
  5. Step 5: Solve for x
    x = 162,276,131,082.15/460,490.94
  6. Step 6: Final answer
    x = 352,398.10

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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.