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Finding the Fourth Proportional to 460,112.88, 690,279.88 and 144,569.54

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Solution

The fourth proportional to 460,112.88, 690,279.88 and 144,569.54 is: 216,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,112.88 : 690,279.88 = 144,569.54 : x
  2. Step 2: Convert to fraction form
    460,112.88/690,279.88 = 144,569.54/x
  3. Step 3: Cross multiply
    460,112.88x = 690,279.88 × 144,569.54
  4. Step 4: Simplify right side
    460,112.88x = 99,793,444,722.86
  5. Step 5: Solve for x
    x = 99,793,444,722.86/460,112.88
  6. Step 6: Final answer
    x = 216,889.05

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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.