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Finding the Fourth Proportional to 510,200.54, 705,047.76 and 382,654.70

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Solution

The fourth proportional to 510,200.54, 705,047.76 and 382,654.70 is: 528,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,200.54 : 705,047.76 = 382,654.70 : x
  2. Step 2: Convert to fraction form
    510,200.54/705,047.76 = 382,654.70/x
  3. Step 3: Cross multiply
    510,200.54x = 705,047.76 × 382,654.70
  4. Step 4: Simplify right side
    510,200.54x = 269,789,839,088.47
  5. Step 5: Solve for x
    x = 269,789,839,088.47/510,200.54
  6. Step 6: Final answer
    x = 528,791.76

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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.