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Finding the Fourth Proportional to 316,320.80, 474,327.60 and 175,930.40

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Solution

The fourth proportional to 316,320.80, 474,327.60 and 175,930.40 is: 263,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,320.80 : 474,327.60 = 175,930.40 : x
  2. Step 2: Convert to fraction form
    316,320.80/474,327.60 = 175,930.40/x
  3. Step 3: Cross multiply
    316,320.80x = 474,327.60 × 175,930.40
  4. Step 4: Simplify right side
    316,320.80x = 83,448,644,399.04
  5. Step 5: Solve for x
    x = 83,448,644,399.04/316,320.80
  6. Step 6: Final answer
    x = 263,810.17

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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.