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Finding the Fourth Proportional to 409,824.46, 565,560.21 and 228,547.84

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Solution

The fourth proportional to 409,824.46, 565,560.21 and 228,547.84 is: 315,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,824.46 : 565,560.21 = 228,547.84 : x
  2. Step 2: Convert to fraction form
    409,824.46/565,560.21 = 228,547.84/x
  3. Step 3: Cross multiply
    409,824.46x = 565,560.21 × 228,547.84
  4. Step 4: Simplify right side
    409,824.46x = 129,257,564,385.45
  5. Step 5: Solve for x
    x = 129,257,564,385.45/409,824.46
  6. Step 6: Final answer
    x = 315,397.39

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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.