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Finding the Fourth Proportional to 497,594, 686,676.13 and 282,734.07

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Solution

The fourth proportional to 497,594, 686,676.13 and 282,734.07 is: 390,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,594 : 686,676.13 = 282,734.07 : x
  2. Step 2: Convert to fraction form
    497,594/686,676.13 = 282,734.07/x
  3. Step 3: Cross multiply
    497,594x = 686,676.13 × 282,734.07
  4. Step 4: Simplify right side
    497,594x = 194,146,737,006.75
  5. Step 5: Solve for x
    x = 194,146,737,006.75/497,594
  6. Step 6: Final answer
    x = 390,170.98

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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.