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Finding the Fourth Proportional to 496,920.16, 685,758.12 and 282,066.82

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Solution

The fourth proportional to 496,920.16, 685,758.12 and 282,066.82 is: 389,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,920.16 : 685,758.12 = 282,066.82 : x
  2. Step 2: Convert to fraction form
    496,920.16/685,758.12 = 282,066.82/x
  3. Step 3: Cross multiply
    496,920.16x = 685,758.12 × 282,066.82
  4. Step 4: Simplify right side
    496,920.16x = 193,429,612,197.58
  5. Step 5: Solve for x
    x = 193,429,612,197.58/496,920.16
  6. Step 6: Final answer
    x = 389,256.92

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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.