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Finding the Fourth Proportional to 303,626.40, 419,041.35 and 176,302.02

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Solution

The fourth proportional to 303,626.40, 419,041.35 and 176,302.02 is: 243,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,626.40 : 419,041.35 = 176,302.02 : x
  2. Step 2: Convert to fraction form
    303,626.40/419,041.35 = 176,302.02/x
  3. Step 3: Cross multiply
    303,626.40x = 419,041.35 × 176,302.02
  4. Step 4: Simplify right side
    303,626.40x = 73,877,836,468.53
  5. Step 5: Solve for x
    x = 73,877,836,468.53/303,626.40
  6. Step 6: Final answer
    x = 243,318.22

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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.