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Finding the Fourth Proportional to 410,620.84, 566,461.86 and 257,583.40

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Solution

The fourth proportional to 410,620.84, 566,461.86 and 257,583.40 is: 355,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,620.84 : 566,461.86 = 257,583.40 : x
  2. Step 2: Convert to fraction form
    410,620.84/566,461.86 = 257,583.40/x
  3. Step 3: Cross multiply
    410,620.84x = 566,461.86 × 257,583.40
  4. Step 4: Simplify right side
    410,620.84x = 145,911,171,869.12
  5. Step 5: Solve for x
    x = 145,911,171,869.12/410,620.84
  6. Step 6: Final answer
    x = 355,342.83

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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.