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Finding the Fourth Proportional to 409,566.64, 565,204.74 and 228,290.24

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Solution

The fourth proportional to 409,566.64, 565,204.74 and 228,290.24 is: 315,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,566.64 : 565,204.74 = 228,290.24 : x
  2. Step 2: Convert to fraction form
    409,566.64/565,204.74 = 228,290.24/x
  3. Step 3: Cross multiply
    409,566.64x = 565,204.74 × 228,290.24
  4. Step 4: Simplify right side
    409,566.64x = 129,030,725,743.74
  5. Step 5: Solve for x
    x = 129,030,725,743.74/409,566.64
  6. Step 6: Final answer
    x = 315,042.08

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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.