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Finding the Fourth Proportional to 302,468.44, 417,381.62 and 175,152.28

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Solution

The fourth proportional to 302,468.44, 417,381.62 and 175,152.28 is: 241,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,468.44 : 417,381.62 = 175,152.28 : x
  2. Step 2: Convert to fraction form
    302,468.44/417,381.62 = 175,152.28/x
  3. Step 3: Cross multiply
    302,468.44x = 417,381.62 × 175,152.28
  4. Step 4: Simplify right side
    302,468.44x = 73,105,342,373.09
  5. Step 5: Solve for x
    x = 73,105,342,373.09/302,468.44
  6. Step 6: Final answer
    x = 241,695.77

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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.