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Finding the Fourth Proportional to 454,575.24, 627,187.86 and 260,982

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Solution

The fourth proportional to 454,575.24, 627,187.86 and 260,982 is: 360,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,575.24 : 627,187.86 = 260,982 : x
  2. Step 2: Convert to fraction form
    454,575.24/627,187.86 = 260,982/x
  3. Step 3: Cross multiply
    454,575.24x = 627,187.86 × 260,982
  4. Step 4: Simplify right side
    454,575.24x = 163,684,742,078.52
  5. Step 5: Solve for x
    x = 163,684,742,078.52/454,575.24
  6. Step 6: Final answer
    x = 360,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.