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Finding the Fourth Proportional to 407,740.20, 610,400.70 and 303,023.40

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Solution

The fourth proportional to 407,740.20, 610,400.70 and 303,023.40 is: 453,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,740.20 : 610,400.70 = 303,023.40 : x
  2. Step 2: Convert to fraction form
    407,740.20/610,400.70 = 303,023.40/x
  3. Step 3: Cross multiply
    407,740.20x = 610,400.70 × 303,023.40
  4. Step 4: Simplify right side
    407,740.20x = 184,965,695,476.38
  5. Step 5: Solve for x
    x = 184,965,695,476.38/407,740.20
  6. Step 6: Final answer
    x = 453,636.15

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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.