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Finding the Fourth Proportional to 410,564.95, 566,580.97 and 229,283.61

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Solution

The fourth proportional to 410,564.95, 566,580.97 and 229,283.61 is: 316,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,564.95 : 566,580.97 = 229,283.61 : x
  2. Step 2: Convert to fraction form
    410,564.95/566,580.97 = 229,283.61/x
  3. Step 3: Cross multiply
    410,564.95x = 566,580.97 × 229,283.61
  4. Step 4: Simplify right side
    410,564.95x = 129,907,727,326.00
  5. Step 5: Solve for x
    x = 129,907,727,326.00/410,564.95
  6. Step 6: Final answer
    x = 316,412.13

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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.