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Finding the Fourth Proportional to 511,801.84, 706,287.48 and 285,461.92

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Solution

The fourth proportional to 511,801.84, 706,287.48 and 285,461.92 is: 393,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,801.84 : 706,287.48 = 285,461.92 : x
  2. Step 2: Convert to fraction form
    511,801.84/706,287.48 = 285,461.92/x
  3. Step 3: Cross multiply
    511,801.84x = 706,287.48 × 285,461.92
  4. Step 4: Simplify right side
    511,801.84x = 201,618,180,112.76
  5. Step 5: Solve for x
    x = 201,618,180,112.76/511,801.84
  6. Step 6: Final answer
    x = 393,937.97

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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.