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Finding the Fourth Proportional to 382,924.80, 573,026.40 and 333,547.20

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Solution

The fourth proportional to 382,924.80, 573,026.40 and 333,547.20 is: 499,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,924.80 : 573,026.40 = 333,547.20 : x
  2. Step 2: Convert to fraction form
    382,924.80/573,026.40 = 333,547.20/x
  3. Step 3: Cross multiply
    382,924.80x = 573,026.40 × 333,547.20
  4. Step 4: Simplify right side
    382,924.80x = 191,131,351,246.08
  5. Step 5: Solve for x
    x = 191,131,351,246.08/382,924.80
  6. Step 6: Final answer
    x = 499,135.47

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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.