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Finding the Fourth Proportional to 476,523.41, 714,575.22 and 223,875.70

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Solution

The fourth proportional to 476,523.41, 714,575.22 and 223,875.70 is: 335,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,523.41 : 714,575.22 = 223,875.70 : x
  2. Step 2: Convert to fraction form
    476,523.41/714,575.22 = 223,875.70/x
  3. Step 3: Cross multiply
    476,523.41x = 714,575.22 × 223,875.70
  4. Step 4: Simplify right side
    476,523.41x = 159,976,024,954.18
  5. Step 5: Solve for x
    x = 159,976,024,954.18/476,523.41
  6. Step 6: Final answer
    x = 335,714.94

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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.