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Finding the Fourth Proportional to 418,923.90, 578,105.64 and 227,937.78

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Solution

The fourth proportional to 418,923.90, 578,105.64 and 227,937.78 is: 314,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,923.90 : 578,105.64 = 227,937.78 : x
  2. Step 2: Convert to fraction form
    418,923.90/578,105.64 = 227,937.78/x
  3. Step 3: Cross multiply
    418,923.90x = 578,105.64 × 227,937.78
  4. Step 4: Simplify right side
    418,923.90x = 131,772,116,187.08
  5. Step 5: Solve for x
    x = 131,772,116,187.08/418,923.90
  6. Step 6: Final answer
    x = 314,549.05

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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.