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Finding the Fourth Proportional to 333,721.20, 500,581.80 and 307,801.20

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Solution

The fourth proportional to 333,721.20, 500,581.80 and 307,801.20 is: 461,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,721.20 : 500,581.80 = 307,801.20 : x
  2. Step 2: Convert to fraction form
    333,721.20/500,581.80 = 307,801.20/x
  3. Step 3: Cross multiply
    333,721.20x = 500,581.80 × 307,801.20
  4. Step 4: Simplify right side
    333,721.20x = 154,079,678,738.16
  5. Step 5: Solve for x
    x = 154,079,678,738.16/333,721.20
  6. Step 6: Final answer
    x = 461,701.80

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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.