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Finding the Fourth Proportional to 415,310.76, 573,043.14 and 264,352.68

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Solution

The fourth proportional to 415,310.76, 573,043.14 and 264,352.68 is: 364,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,310.76 : 573,043.14 = 264,352.68 : x
  2. Step 2: Convert to fraction form
    415,310.76/573,043.14 = 264,352.68/x
  3. Step 3: Cross multiply
    415,310.76x = 573,043.14 × 264,352.68
  4. Step 4: Simplify right side
    415,310.76x = 151,485,489,814.62
  5. Step 5: Solve for x
    x = 151,485,489,814.62/415,310.76
  6. Step 6: Final answer
    x = 364,752.14

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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.