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Finding the Fourth Proportional to 464,803.06, 696,776.75 and 180,682.60

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Solution

The fourth proportional to 464,803.06, 696,776.75 and 180,682.60 is: 270,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,803.06 : 696,776.75 = 180,682.60 : x
  2. Step 2: Convert to fraction form
    464,803.06/696,776.75 = 180,682.60/x
  3. Step 3: Cross multiply
    464,803.06x = 696,776.75 × 180,682.60
  4. Step 4: Simplify right side
    464,803.06x = 125,895,433,519.32
  5. Step 5: Solve for x
    x = 125,895,433,519.32/464,803.06
  6. Step 6: Final answer
    x = 270,857.58

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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.