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Finding the Fourth Proportional to 302,684, 417,703.92 and 175,433.41

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Solution

The fourth proportional to 302,684, 417,703.92 and 175,433.41 is: 242,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,684 : 417,703.92 = 175,433.41 : x
  2. Step 2: Convert to fraction form
    302,684/417,703.92 = 175,433.41/x
  3. Step 3: Cross multiply
    302,684x = 417,703.92 × 175,433.41
  4. Step 4: Simplify right side
    302,684x = 73,279,220,967.45
  5. Step 5: Solve for x
    x = 73,279,220,967.45/302,684
  6. Step 6: Final answer
    x = 242,098.10

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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.