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Finding the Fourth Proportional to 410,156.10, 615,234.15 and 410,156.10

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Solution

The fourth proportional to 410,156.10, 615,234.15 and 410,156.10 is: 615,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,156.10 : 615,234.15 = 410,156.10 : x
  2. Step 2: Convert to fraction form
    410,156.10/615,234.15 = 410,156.10/x
  3. Step 3: Cross multiply
    410,156.10x = 615,234.15 × 410,156.10
  4. Step 4: Simplify right side
    410,156.10x = 252,342,039,550.82
  5. Step 5: Solve for x
    x = 252,342,039,550.82/410,156.10
  6. Step 6: Final answer
    x = 615,234.15

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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.