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Finding the Fourth Proportional to 282,971, 390,555.44 and 162,193.24

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Solution

The fourth proportional to 282,971, 390,555.44 and 162,193.24 is: 223,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,971 : 390,555.44 = 162,193.24 : x
  2. Step 2: Convert to fraction form
    282,971/390,555.44 = 162,193.24/x
  3. Step 3: Cross multiply
    282,971x = 390,555.44 × 162,193.24
  4. Step 4: Simplify right side
    282,971x = 63,345,452,213.23
  5. Step 5: Solve for x
    x = 63,345,452,213.23/282,971
  6. Step 6: Final answer
    x = 223,858.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.