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Finding the Fourth Proportional to 410,174.40, 615,261.60 and 188,558.40

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Solution

The fourth proportional to 410,174.40, 615,261.60 and 188,558.40 is: 282,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,174.40 : 615,261.60 = 188,558.40 : x
  2. Step 2: Convert to fraction form
    410,174.40/615,261.60 = 188,558.40/x
  3. Step 3: Cross multiply
    410,174.40x = 615,261.60 × 188,558.40
  4. Step 4: Simplify right side
    410,174.40x = 116,012,742,877.44
  5. Step 5: Solve for x
    x = 116,012,742,877.44/410,174.40
  6. Step 6: Final answer
    x = 282,837.60

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1.5x scale

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.