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Finding the Fourth Proportional to 506,832.53, 699,507.41 and 289,041.66

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Solution

The fourth proportional to 506,832.53, 699,507.41 and 289,041.66 is: 398,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,832.53 : 699,507.41 = 289,041.66 : x
  2. Step 2: Convert to fraction form
    506,832.53/699,507.41 = 289,041.66/x
  3. Step 3: Cross multiply
    506,832.53x = 699,507.41 × 289,041.66
  4. Step 4: Simplify right side
    506,832.53x = 202,186,781,523.49
  5. Step 5: Solve for x
    x = 202,186,781,523.49/506,832.53
  6. Step 6: Final answer
    x = 398,922.27

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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.