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Finding the Fourth Proportional to 315,412.80, 472,973.40 and 137,828.40

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Solution

The fourth proportional to 315,412.80, 472,973.40 and 137,828.40 is: 206,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,412.80 : 472,973.40 = 137,828.40 : x
  2. Step 2: Convert to fraction form
    315,412.80/472,973.40 = 137,828.40/x
  3. Step 3: Cross multiply
    315,412.80x = 472,973.40 × 137,828.40
  4. Step 4: Simplify right side
    315,412.80x = 65,189,166,964.56
  5. Step 5: Solve for x
    x = 65,189,166,964.56/315,412.80
  6. Step 6: Final answer
    x = 206,678.89

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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.