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Finding the Fourth Proportional to 382,095.50, 572,355.50 and 223,844.18

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Solution

The fourth proportional to 382,095.50, 572,355.50 and 223,844.18 is: 335,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,095.50 : 572,355.50 = 223,844.18 : x
  2. Step 2: Convert to fraction form
    382,095.50/572,355.50 = 223,844.18/x
  3. Step 3: Cross multiply
    382,095.50x = 572,355.50 × 223,844.18
  4. Step 4: Simplify right side
    382,095.50x = 128,118,447,565.99
  5. Step 5: Solve for x
    x = 128,118,447,565.99/382,095.50
  6. Step 6: Final answer
    x = 335,304.78

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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.