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Finding the Fourth Proportional to 409,758.06, 565,437.24 and 228,462.24

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Solution

The fourth proportional to 409,758.06, 565,437.24 and 228,462.24 is: 315,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,758.06 : 565,437.24 = 228,462.24 : x
  2. Step 2: Convert to fraction form
    409,758.06/565,437.24 = 228,462.24/x
  3. Step 3: Cross multiply
    409,758.06x = 565,437.24 × 228,462.24
  4. Step 4: Simplify right side
    409,758.06x = 129,181,058,429.82
  5. Step 5: Solve for x
    x = 129,181,058,429.82/409,758.06
  6. Step 6: Final answer
    x = 315,261.79

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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.