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Finding the Fourth Proportional to 497,647.58, 686,536.89 and 316,262.30

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Solution

The fourth proportional to 497,647.58, 686,536.89 and 316,262.30 is: 436,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,647.58 : 686,536.89 = 316,262.30 : x
  2. Step 2: Convert to fraction form
    497,647.58/686,536.89 = 316,262.30/x
  3. Step 3: Cross multiply
    497,647.58x = 686,536.89 × 316,262.30
  4. Step 4: Simplify right side
    497,647.58x = 217,125,735,866.25
  5. Step 5: Solve for x
    x = 217,125,735,866.25/497,647.58
  6. Step 6: Final answer
    x = 436,304.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.