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Finding the Fourth Proportional to 459,248.60, 689,186.37 and 159,726.20

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Solution

The fourth proportional to 459,248.60, 689,186.37 and 159,726.20 is: 239,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,248.60 : 689,186.37 = 159,726.20 : x
  2. Step 2: Convert to fraction form
    459,248.60/689,186.37 = 159,726.20/x
  3. Step 3: Cross multiply
    459,248.60x = 689,186.37 × 159,726.20
  4. Step 4: Simplify right side
    459,248.60x = 110,081,117,124.94
  5. Step 5: Solve for x
    x = 110,081,117,124.94/459,248.60
  6. Step 6: Final answer
    x = 239,698.32

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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.