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Finding the Fourth Proportional to 683,699.96, 1,024,892.62 and 459,123

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Solution

The fourth proportional to 683,699.96, 1,024,892.62 and 459,123 is: 688,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,699.96 : 1,024,892.62 = 459,123 : x
  2. Step 2: Convert to fraction form
    683,699.96/1,024,892.62 = 459,123/x
  3. Step 3: Cross multiply
    683,699.96x = 1,024,892.62 × 459,123
  4. Step 4: Simplify right side
    683,699.96x = 470,551,773,224.45
  5. Step 5: Solve for x
    x = 470,551,773,224.45/683,699.96
  6. Step 6: Final answer
    x = 688,243.10

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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.