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Finding the Fourth Proportional to 341,305.60, 512,347.20 and 201,143.20

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Solution

The fourth proportional to 341,305.60, 512,347.20 and 201,143.20 is: 301,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,305.60 : 512,347.20 = 201,143.20 : x
  2. Step 2: Convert to fraction form
    341,305.60/512,347.20 = 201,143.20/x
  3. Step 3: Cross multiply
    341,305.60x = 512,347.20 × 201,143.20
  4. Step 4: Simplify right side
    341,305.60x = 103,055,155,319.04
  5. Step 5: Solve for x
    x = 103,055,155,319.04/341,305.60
  6. Step 6: Final answer
    x = 301,943.93

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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.