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Finding the Fourth Proportional to 309,417.60, 434,234.40 and 309,417.60

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Solution

The fourth proportional to 309,417.60, 434,234.40 and 309,417.60 is: 434,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,417.60 : 434,234.40 = 309,417.60 : x
  2. Step 2: Convert to fraction form
    309,417.60/434,234.40 = 309,417.60/x
  3. Step 3: Cross multiply
    309,417.60x = 434,234.40 × 309,417.60
  4. Step 4: Simplify right side
    309,417.60x = 134,359,765,885.44
  5. Step 5: Solve for x
    x = 134,359,765,885.44/309,417.60
  6. Step 6: Final answer
    x = 434,234.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.