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Finding the Fourth Proportional to 493,644.70, 740,495.74 and 138,686.40

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Solution

The fourth proportional to 493,644.70, 740,495.74 and 138,686.40 is: 208,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,644.70 : 740,495.74 = 138,686.40 : x
  2. Step 2: Convert to fraction form
    493,644.70/740,495.74 = 138,686.40/x
  3. Step 3: Cross multiply
    493,644.70x = 740,495.74 × 138,686.40
  4. Step 4: Simplify right side
    493,644.70x = 102,696,688,395.94
  5. Step 5: Solve for x
    x = 102,696,688,395.94/493,644.70
  6. Step 6: Final answer
    x = 208,037.66

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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.