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Finding the Fourth Proportional to 410,751.55, 566,816.79 and 229,427.38

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Solution

The fourth proportional to 410,751.55, 566,816.79 and 229,427.38 is: 316,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,751.55 : 566,816.79 = 229,427.38 : x
  2. Step 2: Convert to fraction form
    410,751.55/566,816.79 = 229,427.38/x
  3. Step 3: Cross multiply
    410,751.55x = 566,816.79 × 229,427.38
  4. Step 4: Simplify right side
    410,751.55x = 130,043,291,069.71
  5. Step 5: Solve for x
    x = 130,043,291,069.71/410,751.55
  6. Step 6: Final answer
    x = 316,598.42

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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.