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Finding the Fourth Proportional to 597,717, 824,844.12 and 325,784.88

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Solution

The fourth proportional to 597,717, 824,844.12 and 325,784.88 is: 449,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,717 : 824,844.12 = 325,784.88 : x
  2. Step 2: Convert to fraction form
    597,717/824,844.12 = 325,784.88/x
  3. Step 3: Cross multiply
    597,717x = 824,844.12 × 325,784.88
  4. Step 4: Simplify right side
    597,717x = 268,721,742,652.91
  5. Step 5: Solve for x
    x = 268,721,742,652.91/597,717
  6. Step 6: Final answer
    x = 449,580.22

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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.