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Finding the Fourth Proportional to 410,731.12, 615,461.64 and 320,560.08

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Solution

The fourth proportional to 410,731.12, 615,461.64 and 320,560.08 is: 480,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,731.12 : 615,461.64 = 320,560.08 : x
  2. Step 2: Convert to fraction form
    410,731.12/615,461.64 = 320,560.08/x
  3. Step 3: Cross multiply
    410,731.12x = 615,461.64 × 320,560.08
  4. Step 4: Simplify right side
    410,731.12x = 197,292,432,555.33
  5. Step 5: Solve for x
    x = 197,292,432,555.33/410,731.12
  6. Step 6: Final answer
    x = 480,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.