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Finding the Fourth Proportional to 407,714.20, 610,361.70 and 302,997.40

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Solution

The fourth proportional to 407,714.20, 610,361.70 and 302,997.40 is: 453,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.20 : 610,361.70 = 302,997.40 : x
  2. Step 2: Convert to fraction form
    407,714.20/610,361.70 = 302,997.40/x
  3. Step 3: Cross multiply
    407,714.20x = 610,361.70 × 302,997.40
  4. Step 4: Simplify right side
    407,714.20x = 184,938,008,159.58
  5. Step 5: Solve for x
    x = 184,938,008,159.58/407,714.20
  6. Step 6: Final answer
    x = 453,597.17

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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.