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Finding the Fourth Proportional to 341,654.60, 512,870.70 and 201,492.20

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Solution

The fourth proportional to 341,654.60, 512,870.70 and 201,492.20 is: 302,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,654.60 : 512,870.70 = 201,492.20 : x
  2. Step 2: Convert to fraction form
    341,654.60/512,870.70 = 201,492.20/x
  3. Step 3: Cross multiply
    341,654.60x = 512,870.70 × 201,492.20
  4. Step 4: Simplify right side
    341,654.60x = 103,339,445,658.54
  5. Step 5: Solve for x
    x = 103,339,445,658.54/341,654.60
  6. Step 6: Final answer
    x = 302,467.60

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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.