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Finding the Fourth Proportional to 256,201.76, 353,533.56 and 175,698.32

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Solution

The fourth proportional to 256,201.76, 353,533.56 and 175,698.32 is: 242,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,201.76 : 353,533.56 = 175,698.32 : x
  2. Step 2: Convert to fraction form
    256,201.76/353,533.56 = 175,698.32/x
  3. Step 3: Cross multiply
    256,201.76x = 353,533.56 × 175,698.32
  4. Step 4: Simplify right side
    256,201.76x = 62,115,252,555.62
  5. Step 5: Solve for x
    x = 62,115,252,555.62/256,201.76
  6. Step 6: Final answer
    x = 242,446.63

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1.5x scale

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.