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Finding the Fourth Proportional to 401,496.50, 602,478.04 and 179,880.50

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Solution

The fourth proportional to 401,496.50, 602,478.04 and 179,880.50 is: 269,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,496.50 : 602,478.04 = 179,880.50 : x
  2. Step 2: Convert to fraction form
    401,496.50/602,478.04 = 179,880.50/x
  3. Step 3: Cross multiply
    401,496.50x = 602,478.04 × 179,880.50
  4. Step 4: Simplify right side
    401,496.50x = 108,374,051,074.22
  5. Step 5: Solve for x
    x = 108,374,051,074.22/401,496.50
  6. Step 6: Final answer
    x = 269,925.27

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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.