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Finding the Fourth Proportional to 849,529, 1,172,335.98 and 467,548.12

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Solution

The fourth proportional to 849,529, 1,172,335.98 and 467,548.12 is: 645,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,529 : 1,172,335.98 = 467,548.12 : x
  2. Step 2: Convert to fraction form
    849,529/1,172,335.98 = 467,548.12/x
  3. Step 3: Cross multiply
    849,529x = 1,172,335.98 × 467,548.12
  4. Step 4: Simplify right side
    849,529x = 548,123,483,457.36
  5. Step 5: Solve for x
    x = 548,123,483,457.36/849,529
  6. Step 6: Final answer
    x = 645,208.68

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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.