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Finding the Fourth Proportional to 406,056.10, 609,084.15 and 195,715.30

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Solution

The fourth proportional to 406,056.10, 609,084.15 and 195,715.30 is: 293,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,056.10 : 609,084.15 = 195,715.30 : x
  2. Step 2: Convert to fraction form
    406,056.10/609,084.15 = 195,715.30/x
  3. Step 3: Cross multiply
    406,056.10x = 609,084.15 × 195,715.30
  4. Step 4: Simplify right side
    406,056.10x = 119,207,087,142.50
  5. Step 5: Solve for x
    x = 119,207,087,142.50/406,056.10
  6. Step 6: Final answer
    x = 293,572.95

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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.