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Finding the Fourth Proportional to 569,898.55, 854,847.64 and 214,829.54

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Solution

The fourth proportional to 569,898.55, 854,847.64 and 214,829.54 is: 322,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,898.55 : 854,847.64 = 214,829.54 : x
  2. Step 2: Convert to fraction form
    569,898.55/854,847.64 = 214,829.54/x
  3. Step 3: Cross multiply
    569,898.55x = 854,847.64 × 214,829.54
  4. Step 4: Simplify right side
    569,898.55x = 183,646,525,271.29
  5. Step 5: Solve for x
    x = 183,646,525,271.29/569,898.55
  6. Step 6: Final answer
    x = 322,244.24

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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.