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Finding the Fourth Proportional to 497,810.41, 747,460.90 and 284,818.48

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Solution

The fourth proportional to 497,810.41, 747,460.90 and 284,818.48 is: 427,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,810.41 : 747,460.90 = 284,818.48 : x
  2. Step 2: Convert to fraction form
    497,810.41/747,460.90 = 284,818.48/x
  3. Step 3: Cross multiply
    497,810.41x = 747,460.90 × 284,818.48
  4. Step 4: Simplify right side
    497,810.41x = 212,890,675,484.27
  5. Step 5: Solve for x
    x = 212,890,675,484.27/497,810.41
  6. Step 6: Final answer
    x = 427,654.13

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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.