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Finding the Fourth Proportional to 289,953.60, 434,930.40 and 201,380.10

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Solution

The fourth proportional to 289,953.60, 434,930.40 and 201,380.10 is: 302,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,953.60 : 434,930.40 = 201,380.10 : x
  2. Step 2: Convert to fraction form
    289,953.60/434,930.40 = 201,380.10/x
  3. Step 3: Cross multiply
    289,953.60x = 434,930.40 × 201,380.10
  4. Step 4: Simplify right side
    289,953.60x = 87,586,327,445.04
  5. Step 5: Solve for x
    x = 87,586,327,445.04/289,953.60
  6. Step 6: Final answer
    x = 302,070.15

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1.5x scale

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.