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Finding the Fourth Proportional to 316,752.70, 474,795.30 and 116,945.14

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Solution

The fourth proportional to 316,752.70, 474,795.30 and 116,945.14 is: 175,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,752.70 : 474,795.30 = 116,945.14 : x
  2. Step 2: Convert to fraction form
    316,752.70/474,795.30 = 116,945.14/x
  3. Step 3: Cross multiply
    316,752.70x = 474,795.30 × 116,945.14
  4. Step 4: Simplify right side
    316,752.70x = 55,525,002,829.84
  5. Step 5: Solve for x
    x = 55,525,002,829.84/316,752.70
  6. Step 6: Final answer
    x = 175,294.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.