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Finding the Fourth Proportional to 409,175.94, 564,680.32 and 227,887.86

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Solution

The fourth proportional to 409,175.94, 564,680.32 and 227,887.86 is: 314,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,175.94 : 564,680.32 = 227,887.86 : x
  2. Step 2: Convert to fraction form
    409,175.94/564,680.32 = 227,887.86/x
  3. Step 3: Cross multiply
    409,175.94x = 564,680.32 × 227,887.86
  4. Step 4: Simplify right side
    409,175.94x = 128,683,785,746.07
  5. Step 5: Solve for x
    x = 128,683,785,746.07/409,175.94
  6. Step 6: Final answer
    x = 314,495.00

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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.