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Finding the Fourth Proportional to 341,719.60, 512,968.20 and 201,557.20

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Solution

The fourth proportional to 341,719.60, 512,968.20 and 201,557.20 is: 302,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,719.60 : 512,968.20 = 201,557.20 : x
  2. Step 2: Convert to fraction form
    341,719.60/512,968.20 = 201,557.20/x
  3. Step 3: Cross multiply
    341,719.60x = 512,968.20 × 201,557.20
  4. Step 4: Simplify right side
    341,719.60x = 103,392,434,081.04
  5. Step 5: Solve for x
    x = 103,392,434,081.04/341,719.60
  6. Step 6: Final answer
    x = 302,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.