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Finding the Fourth Proportional to 497,518.12, 686,575.26 and 282,658.56

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Solution

The fourth proportional to 497,518.12, 686,575.26 and 282,658.56 is: 390,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,518.12 : 686,575.26 = 282,658.56 : x
  2. Step 2: Convert to fraction form
    497,518.12/686,575.26 = 282,658.56/x
  3. Step 3: Cross multiply
    497,518.12x = 686,575.26 × 282,658.56
  4. Step 4: Simplify right side
    497,518.12x = 194,066,374,323.23
  5. Step 5: Solve for x
    x = 194,066,374,323.23/497,518.12
  6. Step 6: Final answer
    x = 390,068.96

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