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Finding the Fourth Proportional to 512,185.96, 706,521.72 and 297,298.36

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Solution

The fourth proportional to 512,185.96, 706,521.72 and 297,298.36 is: 410,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,185.96 : 706,521.72 = 297,298.36 : x
  2. Step 2: Convert to fraction form
    512,185.96/706,521.72 = 297,298.36/x
  3. Step 3: Cross multiply
    512,185.96x = 706,521.72 × 297,298.36
  4. Step 4: Simplify right side
    512,185.96x = 210,047,748,660.38
  5. Step 5: Solve for x
    x = 210,047,748,660.38/512,185.96
  6. Step 6: Final answer
    x = 410,100.56

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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.