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Finding the Fourth Proportional to 309,421.50, 464,056.98 and 129,409.50

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Solution

The fourth proportional to 309,421.50, 464,056.98 and 129,409.50 is: 194,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,421.50 : 464,056.98 = 129,409.50 : x
  2. Step 2: Convert to fraction form
    309,421.50/464,056.98 = 129,409.50/x
  3. Step 3: Cross multiply
    309,421.50x = 464,056.98 × 129,409.50
  4. Step 4: Simplify right side
    309,421.50x = 60,053,381,753.31
  5. Step 5: Solve for x
    x = 60,053,381,753.31/309,421.50
  6. Step 6: Final answer
    x = 194,082.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.