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Finding the Fourth Proportional to 410,058.40, 615,087.60 and 114,570.40

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Solution

The fourth proportional to 410,058.40, 615,087.60 and 114,570.40 is: 171,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,058.40 : 615,087.60 = 114,570.40 : x
  2. Step 2: Convert to fraction form
    410,058.40/615,087.60 = 114,570.40/x
  3. Step 3: Cross multiply
    410,058.40x = 615,087.60 × 114,570.40
  4. Step 4: Simplify right side
    410,058.40x = 70,470,832,367.04
  5. Step 5: Solve for x
    x = 70,470,832,367.04/410,058.40
  6. Step 6: Final answer
    x = 171,855.60

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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.