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Finding the Fourth Proportional to 442,022.90, 610,064.73 and 260,779.12

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Solution

The fourth proportional to 442,022.90, 610,064.73 and 260,779.12 is: 359,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,022.90 : 610,064.73 = 260,779.12 : x
  2. Step 2: Convert to fraction form
    442,022.90/610,064.73 = 260,779.12/x
  3. Step 3: Cross multiply
    442,022.90x = 610,064.73 × 260,779.12
  4. Step 4: Simplify right side
    442,022.90x = 159,092,141,907.28
  5. Step 5: Solve for x
    x = 159,092,141,907.28/442,022.90
  6. Step 6: Final answer
    x = 359,918.33

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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.