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Finding the Fourth Proportional to 971,874.16, 1,457,800.71 and 332,171.80

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Solution

The fourth proportional to 971,874.16, 1,457,800.71 and 332,171.80 is: 498,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,874.16 : 1,457,800.71 = 332,171.80 : x
  2. Step 2: Convert to fraction form
    971,874.16/1,457,800.71 = 332,171.80/x
  3. Step 3: Cross multiply
    971,874.16x = 1,457,800.71 × 332,171.80
  4. Step 4: Simplify right side
    971,874.16x = 484,240,285,881.98
  5. Step 5: Solve for x
    x = 484,240,285,881.98/971,874.16
  6. Step 6: Final answer
    x = 498,254.10

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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.