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Finding the Fourth Proportional to 683,935.65, 943,946.01 and 463,072.77

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Solution

The fourth proportional to 683,935.65, 943,946.01 and 463,072.77 is: 639,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,935.65 : 943,946.01 = 463,072.77 : x
  2. Step 2: Convert to fraction form
    683,935.65/943,946.01 = 463,072.77/x
  3. Step 3: Cross multiply
    683,935.65x = 943,946.01 × 463,072.77
  4. Step 4: Simplify right side
    683,935.65x = 437,115,693,581.15
  5. Step 5: Solve for x
    x = 437,115,693,581.15/683,935.65
  6. Step 6: Final answer
    x = 639,118.16

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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.