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Finding the Fourth Proportional to 406,435.46, 609,672.64 and 196,250.18

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Solution

The fourth proportional to 406,435.46, 609,672.64 and 196,250.18 is: 294,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,435.46 : 609,672.64 = 196,250.18 : x
  2. Step 2: Convert to fraction form
    406,435.46/609,672.64 = 196,250.18/x
  3. Step 3: Cross multiply
    406,435.46x = 609,672.64 × 196,250.18
  4. Step 4: Simplify right side
    406,435.46x = 119,648,365,341.08
  5. Step 5: Solve for x
    x = 119,648,365,341.08/406,435.46
  6. Step 6: Final answer
    x = 294,384.66

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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.