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Finding the Fourth Proportional to 410,386.59, 566,274.92 and 229,094.54

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Solution

The fourth proportional to 410,386.59, 566,274.92 and 229,094.54 is: 316,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,386.59 : 566,274.92 = 229,094.54 : x
  2. Step 2: Convert to fraction form
    410,386.59/566,274.92 = 229,094.54/x
  3. Step 3: Cross multiply
    410,386.59x = 566,274.92 × 229,094.54
  4. Step 4: Simplify right side
    410,386.59x = 129,730,494,299.36
  5. Step 5: Solve for x
    x = 129,730,494,299.36/410,386.59
  6. Step 6: Final answer
    x = 316,117.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.