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Finding the Fourth Proportional to 563,443.48, 845,196 and 142,723

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Solution

The fourth proportional to 563,443.48, 845,196 and 142,723 is: 214,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,443.48 : 845,196 = 142,723 : x
  2. Step 2: Convert to fraction form
    563,443.48/845,196 = 142,723/x
  3. Step 3: Cross multiply
    563,443.48x = 845,196 × 142,723
  4. Step 4: Simplify right side
    563,443.48x = 120,628,908,708
  5. Step 5: Solve for x
    x = 120,628,908,708/563,443.48
  6. Step 6: Final answer
    x = 214,092.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.