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Finding the Fourth Proportional to 472,973.80, 709,806.30 and 333,005.80

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Solution

The fourth proportional to 472,973.80, 709,806.30 and 333,005.80 is: 499,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,973.80 : 709,806.30 = 333,005.80 : x
  2. Step 2: Convert to fraction form
    472,973.80/709,806.30 = 333,005.80/x
  3. Step 3: Cross multiply
    472,973.80x = 709,806.30 × 333,005.80
  4. Step 4: Simplify right side
    472,973.80x = 236,369,614,776.54
  5. Step 5: Solve for x
    x = 236,369,614,776.54/472,973.80
  6. Step 6: Final answer
    x = 499,752.03

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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.