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Finding the Fourth Proportional to 463,878.09, 695,597.79 and 179,701.74

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Solution

The fourth proportional to 463,878.09, 695,597.79 and 179,701.74 is: 269,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,878.09 : 695,597.79 = 179,701.74 : x
  2. Step 2: Convert to fraction form
    463,878.09/695,597.79 = 179,701.74/x
  3. Step 3: Cross multiply
    463,878.09x = 695,597.79 × 179,701.74
  4. Step 4: Simplify right side
    463,878.09x = 125,000,133,203.16
  5. Step 5: Solve for x
    x = 125,000,133,203.16/463,878.09
  6. Step 6: Final answer
    x = 269,467.64

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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.