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Finding the Fourth Proportional to 409,572.64, 565,213.04 and 228,296.24

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Solution

The fourth proportional to 409,572.64, 565,213.04 and 228,296.24 is: 315,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,572.64 : 565,213.04 = 228,296.24 : x
  2. Step 2: Convert to fraction form
    409,572.64/565,213.04 = 228,296.24/x
  3. Step 3: Cross multiply
    409,572.64x = 565,213.04 × 228,296.24
  4. Step 4: Simplify right side
    409,572.64x = 129,036,011,830.97
  5. Step 5: Solve for x
    x = 129,036,011,830.97/409,572.64
  6. Step 6: Final answer
    x = 315,050.37

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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.