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Finding the Fourth Proportional to 506,658.24, 698,384.43 and 399,057.84

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Solution

The fourth proportional to 506,658.24, 698,384.43 and 399,057.84 is: 550,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,658.24 : 698,384.43 = 399,057.84 : x
  2. Step 2: Convert to fraction form
    506,658.24/698,384.43 = 399,057.84/x
  3. Step 3: Cross multiply
    506,658.24x = 698,384.43 × 399,057.84
  4. Step 4: Simplify right side
    506,658.24x = 278,695,782,125.43
  5. Step 5: Solve for x
    x = 278,695,782,125.43/506,658.24
  6. Step 6: Final answer
    x = 550,066.61

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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.