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Finding the Fourth Proportional to 495,262.40, 742,893.60 and 463,769.60

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Solution

The fourth proportional to 495,262.40, 742,893.60 and 463,769.60 is: 695,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,262.40 : 742,893.60 = 463,769.60 : x
  2. Step 2: Convert to fraction form
    495,262.40/742,893.60 = 463,769.60/x
  3. Step 3: Cross multiply
    495,262.40x = 742,893.60 × 463,769.60
  4. Step 4: Simplify right side
    495,262.40x = 344,531,467,714.56
  5. Step 5: Solve for x
    x = 344,531,467,714.56/495,262.40
  6. Step 6: Final answer
    x = 695,654.40

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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.