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Finding the Fourth Proportional to 683,864, 943,715.04 and 382,060.16

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Solution

The fourth proportional to 683,864, 943,715.04 and 382,060.16 is: 527,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,864 : 943,715.04 = 382,060.16 : x
  2. Step 2: Convert to fraction form
    683,864/943,715.04 = 382,060.16/x
  3. Step 3: Cross multiply
    683,864x = 943,715.04 × 382,060.16
  4. Step 4: Simplify right side
    683,864x = 360,555,919,176.81
  5. Step 5: Solve for x
    x = 360,555,919,176.81/683,864
  6. Step 6: Final answer
    x = 527,233.37

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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.