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Finding the Fourth Proportional to 419,218.96, 578,335.26 and 283,209.16

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Solution

The fourth proportional to 419,218.96, 578,335.26 and 283,209.16 is: 390,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,218.96 : 578,335.26 = 283,209.16 : x
  2. Step 2: Convert to fraction form
    419,218.96/578,335.26 = 283,209.16/x
  3. Step 3: Cross multiply
    419,218.96x = 578,335.26 × 283,209.16
  4. Step 4: Simplify right side
    419,218.96x = 163,789,843,182.98
  5. Step 5: Solve for x
    x = 163,789,843,182.98/419,218.96
  6. Step 6: Final answer
    x = 390,702.37

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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.