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Finding the Fourth Proportional to 569,289, 854,016.90 and 232,350.12

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Solution

The fourth proportional to 569,289, 854,016.90 and 232,350.12 is: 348,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,289 : 854,016.90 = 232,350.12 : x
  2. Step 2: Convert to fraction form
    569,289/854,016.90 = 232,350.12/x
  3. Step 3: Cross multiply
    569,289x = 854,016.90 × 232,350.12
  4. Step 4: Simplify right side
    569,289x = 198,430,929,197.03
  5. Step 5: Solve for x
    x = 198,430,929,197.03/569,289
  6. Step 6: Final answer
    x = 348,559.22

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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.