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Finding the Fourth Proportional to 410,425.60, 615,638.40 and 144,097.60

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Solution

The fourth proportional to 410,425.60, 615,638.40 and 144,097.60 is: 216,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,425.60 : 615,638.40 = 144,097.60 : x
  2. Step 2: Convert to fraction form
    410,425.60/615,638.40 = 144,097.60/x
  3. Step 3: Cross multiply
    410,425.60x = 615,638.40 × 144,097.60
  4. Step 4: Simplify right side
    410,425.60x = 88,712,015,907.84
  5. Step 5: Solve for x
    x = 88,712,015,907.84/410,425.60
  6. Step 6: Final answer
    x = 216,146.40

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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.