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Finding the Fourth Proportional to 588,720, 883,101.46 and 209,668.62

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Solution

The fourth proportional to 588,720, 883,101.46 and 209,668.62 is: 314,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,720 : 883,101.46 = 209,668.62 : x
  2. Step 2: Convert to fraction form
    588,720/883,101.46 = 209,668.62/x
  3. Step 3: Cross multiply
    588,720x = 883,101.46 × 209,668.62
  4. Step 4: Simplify right side
    588,720x = 185,158,664,438.19
  5. Step 5: Solve for x
    x = 185,158,664,438.19/588,720
  6. Step 6: Final answer
    x = 314,510.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.