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Finding the Fourth Proportional to 413,957.55, 571,254.60 and 230,188.80

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Solution

The fourth proportional to 413,957.55, 571,254.60 and 230,188.80 is: 317,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,957.55 : 571,254.60 = 230,188.80 : x
  2. Step 2: Convert to fraction form
    413,957.55/571,254.60 = 230,188.80/x
  3. Step 3: Cross multiply
    413,957.55x = 571,254.60 × 230,188.80
  4. Step 4: Simplify right side
    413,957.55x = 131,496,410,868.48
  5. Step 5: Solve for x
    x = 131,496,410,868.48/413,957.55
  6. Step 6: Final answer
    x = 317,656.75

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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.