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Finding the Fourth Proportional to 506,806.84, 699,399.66 and 280,473.40

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Solution

The fourth proportional to 506,806.84, 699,399.66 and 280,473.40 is: 387,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,806.84 : 699,399.66 = 280,473.40 : x
  2. Step 2: Convert to fraction form
    506,806.84/699,399.66 = 280,473.40/x
  3. Step 3: Cross multiply
    506,806.84x = 699,399.66 × 280,473.40
  4. Step 4: Simplify right side
    506,806.84x = 196,163,000,599.04
  5. Step 5: Solve for x
    x = 196,163,000,599.04/506,806.84
  6. Step 6: Final answer
    x = 387,056.73

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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.