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Finding the Fourth Proportional to 431,918.64, 596,010.33 and 278,963.49

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Solution

The fourth proportional to 431,918.64, 596,010.33 and 278,963.49 is: 384,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,918.64 : 596,010.33 = 278,963.49 : x
  2. Step 2: Convert to fraction form
    431,918.64/596,010.33 = 278,963.49/x
  3. Step 3: Cross multiply
    431,918.64x = 596,010.33 × 278,963.49
  4. Step 4: Simplify right side
    431,918.64x = 166,265,121,732.85
  5. Step 5: Solve for x
    x = 166,265,121,732.85/431,918.64
  6. Step 6: Final answer
    x = 384,945.47

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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.