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Finding the Fourth Proportional to 302,708.40, 417,737.64 and 175,457.80

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Solution

The fourth proportional to 302,708.40, 417,737.64 and 175,457.80 is: 242,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,708.40 : 417,737.64 = 175,457.80 : x
  2. Step 2: Convert to fraction form
    302,708.40/417,737.64 = 175,457.80/x
  3. Step 3: Cross multiply
    302,708.40x = 417,737.64 × 175,457.80
  4. Step 4: Simplify right side
    302,708.40x = 73,295,327,291.59
  5. Step 5: Solve for x
    x = 73,295,327,291.59/302,708.40
  6. Step 6: Final answer
    x = 242,131.79

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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.