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Finding the Fourth Proportional to 497,703.90, 686,801.79 and 282,814.14

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Solution

The fourth proportional to 497,703.90, 686,801.79 and 282,814.14 is: 390,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,703.90 : 686,801.79 = 282,814.14 : x
  2. Step 2: Convert to fraction form
    497,703.90/686,801.79 = 282,814.14/x
  3. Step 3: Cross multiply
    497,703.90x = 686,801.79 × 282,814.14
  4. Step 4: Simplify right side
    497,703.90x = 194,237,257,589.31
  5. Step 5: Solve for x
    x = 194,237,257,589.31/497,703.90
  6. Step 6: Final answer
    x = 390,266.70

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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.