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Finding the Fourth Proportional to 493,852.02, 740,778.30 and 138,866.04

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Solution

The fourth proportional to 493,852.02, 740,778.30 and 138,866.04 is: 208,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,852.02 : 740,778.30 = 138,866.04 : x
  2. Step 2: Convert to fraction form
    493,852.02/740,778.30 = 138,866.04/x
  3. Step 3: Cross multiply
    493,852.02x = 740,778.30 × 138,866.04
  4. Step 4: Simplify right side
    493,852.02x = 102,868,949,038.93
  5. Step 5: Solve for x
    x = 102,868,949,038.93/493,852.02
  6. Step 6: Final answer
    x = 208,299.14

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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.