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Finding the Fourth Proportional to 460,153.38, 689,648.49 and 207,164.46

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Solution

The fourth proportional to 460,153.38, 689,648.49 and 207,164.46 is: 310,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,153.38 : 689,648.49 = 207,164.46 : x
  2. Step 2: Convert to fraction form
    460,153.38/689,648.49 = 207,164.46/x
  3. Step 3: Cross multiply
    460,153.38x = 689,648.49 × 207,164.46
  4. Step 4: Simplify right side
    460,153.38x = 142,870,657,020.67
  5. Step 5: Solve for x
    x = 142,870,657,020.67/460,153.38
  6. Step 6: Final answer
    x = 310,484.86

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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.