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Finding the Fourth Proportional to 330,746.70, 456,392.43 and 187,478.22

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Solution

The fourth proportional to 330,746.70, 456,392.43 and 187,478.22 is: 258,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,746.70 : 456,392.43 = 187,478.22 : x
  2. Step 2: Convert to fraction form
    330,746.70/456,392.43 = 187,478.22/x
  3. Step 3: Cross multiply
    330,746.70x = 456,392.43 × 187,478.22
  4. Step 4: Simplify right side
    330,746.70x = 85,563,640,397.87
  5. Step 5: Solve for x
    x = 85,563,640,397.87/330,746.70
  6. Step 6: Final answer
    x = 258,698.39

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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.