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Finding the Fourth Proportional to 335,382, 462,828.96 and 182,421.32

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Solution

The fourth proportional to 335,382, 462,828.96 and 182,421.32 is: 251,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,382 : 462,828.96 = 182,421.32 : x
  2. Step 2: Convert to fraction form
    335,382/462,828.96 = 182,421.32/x
  3. Step 3: Cross multiply
    335,382x = 462,828.96 × 182,421.32
  4. Step 4: Simplify right side
    335,382x = 84,429,869,817.43
  5. Step 5: Solve for x
    x = 84,429,869,817.43/335,382
  6. Step 6: Final answer
    x = 251,742.40

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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.