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Finding the Fourth Proportional to 410,364.60, 615,546.90 and 270,281.40

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Solution

The fourth proportional to 410,364.60, 615,546.90 and 270,281.40 is: 405,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,364.60 : 615,546.90 = 270,281.40 : x
  2. Step 2: Convert to fraction form
    410,364.60/615,546.90 = 270,281.40/x
  3. Step 3: Cross multiply
    410,364.60x = 615,546.90 × 270,281.40
  4. Step 4: Simplify right side
    410,364.60x = 166,370,877,897.66
  5. Step 5: Solve for x
    x = 166,370,877,897.66/410,364.60
  6. Step 6: Final answer
    x = 405,422.10

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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.