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Finding the Fourth Proportional to 653,616.90, 902,039.70 and 367,153.92

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Solution

The fourth proportional to 653,616.90, 902,039.70 and 367,153.92 is: 506,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,616.90 : 902,039.70 = 367,153.92 : x
  2. Step 2: Convert to fraction form
    653,616.90/902,039.70 = 367,153.92/x
  3. Step 3: Cross multiply
    653,616.90x = 902,039.70 × 367,153.92
  4. Step 4: Simplify right side
    653,616.90x = 331,187,411,850.62
  5. Step 5: Solve for x
    x = 331,187,411,850.62/653,616.90
  6. Step 6: Final answer
    x = 506,699.58

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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.