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Finding the Fourth Proportional to 382,709.80, 572,703.90 and 333,332.20

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Solution

The fourth proportional to 382,709.80, 572,703.90 and 333,332.20 is: 498,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,709.80 : 572,703.90 = 333,332.20 : x
  2. Step 2: Convert to fraction form
    382,709.80/572,703.90 = 333,332.20/x
  3. Step 3: Cross multiply
    382,709.80x = 572,703.90 × 333,332.20
  4. Step 4: Simplify right side
    382,709.80x = 190,900,650,935.58
  5. Step 5: Solve for x
    x = 190,900,650,935.58/382,709.80
  6. Step 6: Final answer
    x = 498,813.07

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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.