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Finding the Fourth Proportional to 463,714.60, 695,672.70 and 264,130.60

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Solution

The fourth proportional to 463,714.60, 695,672.70 and 264,130.60 is: 396,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,714.60 : 695,672.70 = 264,130.60 : x
  2. Step 2: Convert to fraction form
    463,714.60/695,672.70 = 264,130.60/x
  3. Step 3: Cross multiply
    463,714.60x = 695,672.70 × 264,130.60
  4. Step 4: Simplify right side
    463,714.60x = 183,748,447,654.62
  5. Step 5: Solve for x
    x = 183,748,447,654.62/463,714.60
  6. Step 6: Final answer
    x = 396,253.32

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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.