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Finding the Fourth Proportional to 418,991.64, 578,220.52 and 228,017.12

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Solution

The fourth proportional to 418,991.64, 578,220.52 and 228,017.12 is: 314,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,991.64 : 578,220.52 = 228,017.12 : x
  2. Step 2: Convert to fraction form
    418,991.64/578,220.52 = 228,017.12/x
  3. Step 3: Cross multiply
    418,991.64x = 578,220.52 × 228,017.12
  4. Step 4: Simplify right side
    418,991.64x = 131,844,177,695.30
  5. Step 5: Solve for x
    x = 131,844,177,695.30/418,991.64
  6. Step 6: Final answer
    x = 314,670.19

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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.