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Finding the Fourth Proportional to 506,909.43, 699,507.23 and 289,086.12

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Solution

The fourth proportional to 506,909.43, 699,507.23 and 289,086.12 is: 398,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,909.43 : 699,507.23 = 289,086.12 : x
  2. Step 2: Convert to fraction form
    506,909.43/699,507.23 = 289,086.12/x
  3. Step 3: Cross multiply
    506,909.43x = 699,507.23 × 289,086.12
  4. Step 4: Simplify right side
    506,909.43x = 202,217,829,587.22
  5. Step 5: Solve for x
    x = 202,217,829,587.22/506,909.43
  6. Step 6: Final answer
    x = 398,923.00

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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.