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Finding the Fourth Proportional to 460,906.60, 691,244.70 and 176,535.40

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Solution

The fourth proportional to 460,906.60, 691,244.70 and 176,535.40 is: 264,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,906.60 : 691,244.70 = 176,535.40 : x
  2. Step 2: Convert to fraction form
    460,906.60/691,244.70 = 176,535.40/x
  3. Step 3: Cross multiply
    460,906.60x = 691,244.70 × 176,535.40
  4. Step 4: Simplify right side
    460,906.60x = 122,029,159,612.38
  5. Step 5: Solve for x
    x = 122,029,159,612.38/460,906.60
  6. Step 6: Final answer
    x = 264,758.98

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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.