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Finding the Fourth Proportional to 613,518.40, 847,364.48 and 409,214.56

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Solution

The fourth proportional to 613,518.40, 847,364.48 and 409,214.56 is: 565,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,518.40 : 847,364.48 = 409,214.56 : x
  2. Step 2: Convert to fraction form
    613,518.40/847,364.48 = 409,214.56/x
  3. Step 3: Cross multiply
    613,518.40x = 847,364.48 × 409,214.56
  4. Step 4: Simplify right side
    613,518.40x = 346,753,882,842.83
  5. Step 5: Solve for x
    x = 346,753,882,842.83/613,518.40
  6. Step 6: Final answer
    x = 565,189.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.