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Finding the Fourth Proportional to 302,415.10, 417,305.73 and 175,099.30

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Solution

The fourth proportional to 302,415.10, 417,305.73 and 175,099.30 is: 241,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,415.10 : 417,305.73 = 175,099.30 : x
  2. Step 2: Convert to fraction form
    302,415.10/417,305.73 = 175,099.30/x
  3. Step 3: Cross multiply
    302,415.10x = 417,305.73 × 175,099.30
  4. Step 4: Simplify right side
    302,415.10x = 73,069,941,208.99
  5. Step 5: Solve for x
    x = 73,069,941,208.99/302,415.10
  6. Step 6: Final answer
    x = 241,621.34

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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.