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Finding the Fourth Proportional to 406,869.30, 610,401.15 and 196,334.10

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Solution

The fourth proportional to 406,869.30, 610,401.15 and 196,334.10 is: 294,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,869.30 : 610,401.15 = 196,334.10 : x
  2. Step 2: Convert to fraction form
    406,869.30/610,401.15 = 196,334.10/x
  3. Step 3: Cross multiply
    406,869.30x = 610,401.15 × 196,334.10
  4. Step 4: Simplify right side
    406,869.30x = 119,842,560,424.22
  5. Step 5: Solve for x
    x = 119,842,560,424.22/406,869.30
  6. Step 6: Final answer
    x = 294,548.05

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1.5x scale

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.