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Finding the Fourth Proportional to 341,653.60, 512,869.20 and 201,491.20

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Solution

The fourth proportional to 341,653.60, 512,869.20 and 201,491.20 is: 302,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,653.60 : 512,869.20 = 201,491.20 : x
  2. Step 2: Convert to fraction form
    341,653.60/512,869.20 = 201,491.20/x
  3. Step 3: Cross multiply
    341,653.60x = 512,869.20 × 201,491.20
  4. Step 4: Simplify right side
    341,653.60x = 103,338,630,551.04
  5. Step 5: Solve for x
    x = 103,338,630,551.04/341,653.60
  6. Step 6: Final answer
    x = 302,466.10

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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.