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Finding the Fourth Proportional to 460,299, 690,457.14 and 127,883.64

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Solution

The fourth proportional to 460,299, 690,457.14 and 127,883.64 is: 191,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,299 : 690,457.14 = 127,883.64 : x
  2. Step 2: Convert to fraction form
    460,299/690,457.14 = 127,883.64/x
  3. Step 3: Cross multiply
    460,299x = 690,457.14 × 127,883.64
  4. Step 4: Simplify right side
    460,299x = 88,298,172,327.19
  5. Step 5: Solve for x
    x = 88,298,172,327.19/460,299
  6. Step 6: Final answer
    x = 191,827.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.