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Finding the Fourth Proportional to 410,708.09, 566,774.75 and 229,419.47

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Solution

The fourth proportional to 410,708.09, 566,774.75 and 229,419.47 is: 316,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,708.09 : 566,774.75 = 229,419.47 : x
  2. Step 2: Convert to fraction form
    410,708.09/566,774.75 = 229,419.47/x
  3. Step 3: Cross multiply
    410,708.09x = 566,774.75 × 229,419.47
  4. Step 4: Simplify right side
    410,708.09x = 130,029,164,744.87
  5. Step 5: Solve for x
    x = 130,029,164,744.87/410,708.09
  6. Step 6: Final answer
    x = 316,597.52

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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.