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Finding the Fourth Proportional to 340,120.40, 510,189 and 162,646.16

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Solution

The fourth proportional to 340,120.40, 510,189 and 162,646.16 is: 243,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,120.40 : 510,189 = 162,646.16 : x
  2. Step 2: Convert to fraction form
    340,120.40/510,189 = 162,646.16/x
  3. Step 3: Cross multiply
    340,120.40x = 510,189 × 162,646.16
  4. Step 4: Simplify right side
    340,120.40x = 82,980,281,724.24
  5. Step 5: Solve for x
    x = 82,980,281,724.24/340,120.40
  6. Step 6: Final answer
    x = 243,973.26

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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.