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Finding the Fourth Proportional to 458,866.16, 633,278.16 and 277,622.72

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Solution

The fourth proportional to 458,866.16, 633,278.16 and 277,622.72 is: 383,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.16 : 633,278.16 = 277,622.72 : x
  2. Step 2: Convert to fraction form
    458,866.16/633,278.16 = 277,622.72/x
  3. Step 3: Cross multiply
    458,866.16x = 633,278.16 × 277,622.72
  4. Step 4: Simplify right side
    458,866.16x = 175,812,405,295.80
  5. Step 5: Solve for x
    x = 175,812,405,295.80/458,866.16
  6. Step 6: Final answer
    x = 383,145.28

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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.