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Finding the Fourth Proportional to 495,213.16, 742,856.22 and 179,671.72

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Solution

The fourth proportional to 495,213.16, 742,856.22 and 179,671.72 is: 269,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,213.16 : 742,856.22 = 179,671.72 : x
  2. Step 2: Convert to fraction form
    495,213.16/742,856.22 = 179,671.72/x
  3. Step 3: Cross multiply
    495,213.16x = 742,856.22 × 179,671.72
  4. Step 4: Simplify right side
    495,213.16x = 133,470,254,760.10
  5. Step 5: Solve for x
    x = 133,470,254,760.10/495,213.16
  6. Step 6: Final answer
    x = 269,520.82

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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.