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Finding the Fourth Proportional to 302,685.02, 417,705.31 and 175,434.43

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Solution

The fourth proportional to 302,685.02, 417,705.31 and 175,434.43 is: 242,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,685.02 : 417,705.31 = 175,434.43 : x
  2. Step 2: Convert to fraction form
    302,685.02/417,705.31 = 175,434.43/x
  3. Step 3: Cross multiply
    302,685.02x = 417,705.31 × 175,434.43
  4. Step 4: Simplify right side
    302,685.02x = 73,279,892,967.82
  5. Step 5: Solve for x
    x = 73,279,892,967.82/302,685.02
  6. Step 6: Final answer
    x = 242,099.50

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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.