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Finding the Fourth Proportional to 410,152.10, 615,228.15 and 410,152.10

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Solution

The fourth proportional to 410,152.10, 615,228.15 and 410,152.10 is: 615,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152.10 : 615,228.15 = 410,152.10 : x
  2. Step 2: Convert to fraction form
    410,152.10/615,228.15 = 410,152.10/x
  3. Step 3: Cross multiply
    410,152.10x = 615,228.15 × 410,152.10
  4. Step 4: Simplify right side
    410,152.10x = 252,337,117,701.62
  5. Step 5: Solve for x
    x = 252,337,117,701.62/410,152.10
  6. Step 6: Final answer
    x = 615,228.15

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