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Finding the Fourth Proportional to 302,852.00, 417,935.78 and 175,601.40

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Solution

The fourth proportional to 302,852.00, 417,935.78 and 175,601.40 is: 242,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,852.00 : 417,935.78 = 175,601.40 : x
  2. Step 2: Convert to fraction form
    302,852.00/417,935.78 = 175,601.40/x
  3. Step 3: Cross multiply
    302,852.00x = 417,935.78 × 175,601.40
  4. Step 4: Simplify right side
    302,852.00x = 73,390,107,200.09
  5. Step 5: Solve for x
    x = 73,390,107,200.09/302,852.00
  6. Step 6: Final answer
    x = 242,329.94

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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.