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Finding the Fourth Proportional to 418,973.59, 578,183.70 and 227,982.88

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Solution

The fourth proportional to 418,973.59, 578,183.70 and 227,982.88 is: 314,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,973.59 : 578,183.70 = 227,982.88 : x
  2. Step 2: Convert to fraction form
    418,973.59/578,183.70 = 227,982.88/x
  3. Step 3: Cross multiply
    418,973.59x = 578,183.70 × 227,982.88
  4. Step 4: Simplify right side
    418,973.59x = 131,815,985,095.06
  5. Step 5: Solve for x
    x = 131,815,985,095.06/418,973.59
  6. Step 6: Final answer
    x = 314,616.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.