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Finding the Fourth Proportional to 475,873.50, 713,776.84 and 223,209.40

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Solution

The fourth proportional to 475,873.50, 713,776.84 and 223,209.40 is: 334,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,873.50 : 713,776.84 = 223,209.40 : x
  2. Step 2: Convert to fraction form
    475,873.50/713,776.84 = 223,209.40/x
  3. Step 3: Cross multiply
    475,873.50x = 713,776.84 × 223,209.40
  4. Step 4: Simplify right side
    475,873.50x = 159,321,700,190.30
  5. Step 5: Solve for x
    x = 159,321,700,190.30/475,873.50
  6. Step 6: Final answer
    x = 334,798.43

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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.