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Finding the Fourth Proportional to 410,543.28, 566,544.38 and 229,258.40

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Solution

The fourth proportional to 410,543.28, 566,544.38 and 229,258.40 is: 316,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,543.28 : 566,544.38 = 229,258.40 : x
  2. Step 2: Convert to fraction form
    410,543.28/566,544.38 = 229,258.40/x
  3. Step 3: Cross multiply
    410,543.28x = 566,544.38 × 229,258.40
  4. Step 4: Simplify right side
    410,543.28x = 129,885,054,108.78
  5. Step 5: Solve for x
    x = 129,885,054,108.78/410,543.28
  6. Step 6: Final answer
    x = 316,373.60

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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.