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Finding the Fourth Proportional to 285,437.20, 427,746.20 and 209,968.40

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Solution

The fourth proportional to 285,437.20, 427,746.20 and 209,968.40 is: 314,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437.20 : 427,746.20 = 209,968.40 : x
  2. Step 2: Convert to fraction form
    285,437.20/427,746.20 = 209,968.40/x
  3. Step 3: Cross multiply
    285,437.20x = 427,746.20 × 209,968.40
  4. Step 4: Simplify right side
    285,437.20x = 89,813,185,220.08
  5. Step 5: Solve for x
    x = 89,813,185,220.08/285,437.20
  6. Step 6: Final answer
    x = 314,651.30

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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.