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Finding the Fourth Proportional to 284,714.60, 426,985.63 and 149,705.92

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Solution

The fourth proportional to 284,714.60, 426,985.63 and 149,705.92 is: 224,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,714.60 : 426,985.63 = 149,705.92 : x
  2. Step 2: Convert to fraction form
    284,714.60/426,985.63 = 149,705.92/x
  3. Step 3: Cross multiply
    284,714.60x = 426,985.63 × 149,705.92
  4. Step 4: Simplify right side
    284,714.60x = 63,922,275,124.20
  5. Step 5: Solve for x
    x = 63,922,275,124.20/284,714.60
  6. Step 6: Final answer
    x = 224,513.51

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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.