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Finding the Fourth Proportional to 410,152.40, 615,228.60 and 385,220.60

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Solution

The fourth proportional to 410,152.40, 615,228.60 and 385,220.60 is: 577,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152.40 : 615,228.60 = 385,220.60 : x
  2. Step 2: Convert to fraction form
    410,152.40/615,228.60 = 385,220.60/x
  3. Step 3: Cross multiply
    410,152.40x = 615,228.60 × 385,220.60
  4. Step 4: Simplify right side
    410,152.40x = 236,998,730,429.16
  5. Step 5: Solve for x
    x = 236,998,730,429.16/410,152.40
  6. Step 6: Final answer
    x = 577,830.90

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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.