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Finding the Fourth Proportional to 408,722.64, 563,717.72 and 265,528.82

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Solution

The fourth proportional to 408,722.64, 563,717.72 and 265,528.82 is: 366,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,722.64 : 563,717.72 = 265,528.82 : x
  2. Step 2: Convert to fraction form
    408,722.64/563,717.72 = 265,528.82/x
  3. Step 3: Cross multiply
    408,722.64x = 563,717.72 × 265,528.82
  4. Step 4: Simplify right side
    408,722.64x = 149,683,296,858.46
  5. Step 5: Solve for x
    x = 149,683,296,858.46/408,722.64
  6. Step 6: Final answer
    x = 366,222.18

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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.