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Finding the Fourth Proportional to 418,460.64, 627,679.36 and 152,226.08

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Solution

The fourth proportional to 418,460.64, 627,679.36 and 152,226.08 is: 228,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,460.64 : 627,679.36 = 152,226.08 : x
  2. Step 2: Convert to fraction form
    418,460.64/627,679.36 = 152,226.08/x
  3. Step 3: Cross multiply
    418,460.64x = 627,679.36 × 152,226.08
  4. Step 4: Simplify right side
    418,460.64x = 95,549,168,469.71
  5. Step 5: Solve for x
    x = 95,549,168,469.71/418,460.64
  6. Step 6: Final answer
    x = 228,334.90

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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.