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Finding the Fourth Proportional to 382,653.40, 573,980.10 and 146,003.80

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Solution

The fourth proportional to 382,653.40, 573,980.10 and 146,003.80 is: 219,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,653.40 : 573,980.10 = 146,003.80 : x
  2. Step 2: Convert to fraction form
    382,653.40/573,980.10 = 146,003.80/x
  3. Step 3: Cross multiply
    382,653.40x = 573,980.10 × 146,003.80
  4. Step 4: Simplify right side
    382,653.40x = 83,803,275,724.38
  5. Step 5: Solve for x
    x = 83,803,275,724.38/382,653.40
  6. Step 6: Final answer
    x = 219,005.70

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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.