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Finding the Fourth Proportional to 590,046, 885,167.44 and 190,639.68

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Solution

The fourth proportional to 590,046, 885,167.44 and 190,639.68 is: 285,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,046 : 885,167.44 = 190,639.68 : x
  2. Step 2: Convert to fraction form
    590,046/885,167.44 = 190,639.68/x
  3. Step 3: Cross multiply
    590,046x = 885,167.44 × 190,639.68
  4. Step 4: Simplify right side
    590,046x = 168,748,037,508.02
  5. Step 5: Solve for x
    x = 168,748,037,508.02/590,046
  6. Step 6: Final answer
    x = 285,991.33

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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.