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Finding the Fourth Proportional to 590,557, 814,968.66 and 322,285

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Solution

The fourth proportional to 590,557, 814,968.66 and 322,285 is: 444,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,557 : 814,968.66 = 322,285 : x
  2. Step 2: Convert to fraction form
    590,557/814,968.66 = 322,285/x
  3. Step 3: Cross multiply
    590,557x = 814,968.66 × 322,285
  4. Step 4: Simplify right side
    590,557x = 262,652,174,588.10
  5. Step 5: Solve for x
    x = 262,652,174,588.10/590,557
  6. Step 6: Final answer
    x = 444,753.30

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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.