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Finding the Fourth Proportional to 341,461.60, 512,581.20 and 201,299.20

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Solution

The fourth proportional to 341,461.60, 512,581.20 and 201,299.20 is: 302,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,461.60 : 512,581.20 = 201,299.20 : x
  2. Step 2: Convert to fraction form
    341,461.60/512,581.20 = 201,299.20/x
  3. Step 3: Cross multiply
    341,461.60x = 512,581.20 × 201,299.20
  4. Step 4: Simplify right side
    341,461.60x = 103,182,185,495.04
  5. Step 5: Solve for x
    x = 103,182,185,495.04/341,461.60
  6. Step 6: Final answer
    x = 302,178.01

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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.