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Finding the Fourth Proportional to 463,151.54, 639,160.56 and 259,200.86

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Solution

The fourth proportional to 463,151.54, 639,160.56 and 259,200.86 is: 357,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,151.54 : 639,160.56 = 259,200.86 : x
  2. Step 2: Convert to fraction form
    463,151.54/639,160.56 = 259,200.86/x
  3. Step 3: Cross multiply
    463,151.54x = 639,160.56 × 259,200.86
  4. Step 4: Simplify right side
    463,151.54x = 165,670,966,830.08
  5. Step 5: Solve for x
    x = 165,670,966,830.08/463,151.54
  6. Step 6: Final answer
    x = 357,703.59

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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.