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Finding the Fourth Proportional to 302,678.84, 417,633.43 and 175,346.84

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Solution

The fourth proportional to 302,678.84, 417,633.43 and 175,346.84 is: 241,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,678.84 : 417,633.43 = 175,346.84 : x
  2. Step 2: Convert to fraction form
    302,678.84/417,633.43 = 175,346.84/x
  3. Step 3: Cross multiply
    302,678.84x = 417,633.43 × 175,346.84
  4. Step 4: Simplify right side
    302,678.84x = 73,230,699,263.96
  5. Step 5: Solve for x
    x = 73,230,699,263.96/302,678.84
  6. Step 6: Final answer
    x = 241,941.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.