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Finding the Fourth Proportional to 576,258.85, 863,688.43 and 407,828.41

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Solution

The fourth proportional to 576,258.85, 863,688.43 and 407,828.41 is: 611,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,258.85 : 863,688.43 = 407,828.41 : x
  2. Step 2: Convert to fraction form
    576,258.85/863,688.43 = 407,828.41/x
  3. Step 3: Cross multiply
    576,258.85x = 863,688.43 × 407,828.41
  4. Step 4: Simplify right side
    576,258.85x = 352,236,675,963.50
  5. Step 5: Solve for x
    x = 352,236,675,963.50/576,258.85
  6. Step 6: Final answer
    x = 611,247.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.