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Finding the Fourth Proportional to 497,704.15, 686,802.13 and 282,814.39

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Solution

The fourth proportional to 497,704.15, 686,802.13 and 282,814.39 is: 390,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,704.15 : 686,802.13 = 282,814.39 : x
  2. Step 2: Convert to fraction form
    497,704.15/686,802.13 = 282,814.39/x
  3. Step 3: Cross multiply
    497,704.15x = 686,802.13 × 282,814.39
  4. Step 4: Simplify right side
    497,704.15x = 194,237,525,446.65
  5. Step 5: Solve for x
    x = 194,237,525,446.65/497,704.15
  6. Step 6: Final answer
    x = 390,267.04

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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.