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Finding the Fourth Proportional to 408,248.64, 563,315.04 and 226,955.52

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Solution

The fourth proportional to 408,248.64, 563,315.04 and 226,955.52 is: 313,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,248.64 : 563,315.04 = 226,955.52 : x
  2. Step 2: Convert to fraction form
    408,248.64/563,315.04 = 226,955.52/x
  3. Step 3: Cross multiply
    408,248.64x = 563,315.04 × 226,955.52
  4. Step 4: Simplify right side
    408,248.64x = 127,847,457,827.02
  5. Step 5: Solve for x
    x = 127,847,457,827.02/408,248.64
  6. Step 6: Final answer
    x = 313,160.77

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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.