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Finding the Fourth Proportional to 406,059.80, 609,089.70 and 311,581.40

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Solution

The fourth proportional to 406,059.80, 609,089.70 and 311,581.40 is: 467,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,059.80 : 609,089.70 = 311,581.40 : x
  2. Step 2: Convert to fraction form
    406,059.80/609,089.70 = 311,581.40/x
  3. Step 3: Cross multiply
    406,059.80x = 609,089.70 × 311,581.40
  4. Step 4: Simplify right side
    406,059.80x = 189,781,021,451.58
  5. Step 5: Solve for x
    x = 189,781,021,451.58/406,059.80
  6. Step 6: Final answer
    x = 467,372.10

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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.