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Finding the Fourth Proportional to 302,737.36, 417,713.64 and 175,405.20

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Solution

The fourth proportional to 302,737.36, 417,713.64 and 175,405.20 is: 242,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,737.36 : 417,713.64 = 175,405.20 : x
  2. Step 2: Convert to fraction form
    302,737.36/417,713.64 = 175,405.20/x
  3. Step 3: Cross multiply
    302,737.36x = 417,713.64 × 175,405.20
  4. Step 4: Simplify right side
    302,737.36x = 73,269,144,566.93
  5. Step 5: Solve for x
    x = 73,269,144,566.93/302,737.36
  6. Step 6: Final answer
    x = 242,022.14

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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.