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Finding the Fourth Proportional to 455,714.80, 683,572.20 and 202,994.80

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Solution

The fourth proportional to 455,714.80, 683,572.20 and 202,994.80 is: 304,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,714.80 : 683,572.20 = 202,994.80 : x
  2. Step 2: Convert to fraction form
    455,714.80/683,572.20 = 202,994.80/x
  3. Step 3: Cross multiply
    455,714.80x = 683,572.20 × 202,994.80
  4. Step 4: Simplify right side
    455,714.80x = 138,761,602,024.56
  5. Step 5: Solve for x
    x = 138,761,602,024.56/455,714.80
  6. Step 6: Final answer
    x = 304,492.20

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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.